Relevant bibliographies by topics / Homotopy perturbation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Homotopy perturbation'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Homotopy perturbation"

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Side, Syafruddin, Maya Sari Wahyuni, and Muh Rifki. "Solusi Numerik Model SIR pada Penyebaran Penyakit Hepatitis B dengan Metode Perturbasi Homotopi di Provinsi Sulawesi Selatan." Journal of Mathematics, Computations, and Statistics 3, no. 2 (2020): 79. http://dx.doi.org/10.35580/jmathcos.v3i2.20122.

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Penelitian ini membahas mengenai solusi secara numerik dari model SIR pada penyebaran penyakit Hepatitis B dengan Metode Perturbasi Homotopi. Data yang digunakan adalah data sekunder dari penelitian Rosdiana (2015) yang berupa model SIR dan jumlah penderita Hepatitis B di Provinsi Sulawesi Selatan tahun 2015 dari Dinas Kesehatan Provinsi Sulawesi Selatan. Pembahasan dimulai dari penentuan solusi umum dengan Metode Perturbasi Homotopi, penentuan parameter, simulasi dan analisis hasil. Setelah dilakukan analisis dari simulasi numerik terlihat bahwa Metode Perturbasi Homotopi dapat digunakan untu
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He, Xi Qin, and Hai Yang Li. "Based on the Improved Homotopy Perturbation Method for Solving Nonlinear Equations." Applied Mechanics and Materials 275-277 (January 2013): 836–40. http://dx.doi.org/10.4028/www.scientific.net/amm.275-277.836.

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According to Nonlinear Fredholm differential and integral equation，it is proposed that the improved homotopy perturbation method is used to solve in this paper, and apply the numerical examples to compare the advantages among homotopy perturbation method, Adomian decomposition method and improved homotopy perturbation method . The results show that improved homotopy perturbation method is more effective.
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He, Ji-Huan. "Homotopy perturbation technique." Computer Methods in Applied Mechanics and Engineering 178, no. 3-4 (1999): 257–62. http://dx.doi.org/10.1016/s0045-7825(99)00018-3.

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Singh, Prince, and Dinkar Sharma. "Comparative study of homotopy perturbation transformation with homotopy perturbation Elzaki transform method for solving nonlinear fractional PDE." Nonlinear Engineering 9, no. 1 (2019): 60–71. http://dx.doi.org/10.1515/nleng-2018-0136.

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AbstractWe apply homotopy perturbation transformation method (combination of homotopy perturbation method and Laplace transformation) and homotopy perturbation Elzaki transformation method on nonlinear fractional partial differential equation (fpde) to obtain a series solution of the equation. In this case, the fractional derivative is described in Caputo sense. To avow the adequacy and authenticity of the technique, we have applied both the techniques to Fractional Fisher’s equation, time-fractional Fornberg-Whitham equation and time fractional Inviscid Burgers’ equation. Finally, we compare
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Bota, Constantin, and Bogdan Căruntu. "Approximate Analytical Solutions of the Regularized Long Wave Equation Using the Optimal Homotopy Perturbation Method." Scientific World Journal 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/721865.

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The paper presents the optimal homotopy perturbation method, which is a new method to find approximate analytical solutions for nonlinear partial differential equations. Based on the well-known homotopy perturbation method, the optimal homotopy perturbation method presents an accelerated convergence compared to the regular homotopy perturbation method. The applications presented emphasize the high accuracy of the method by means of a comparison with previous results.
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Ihsan, Hisyam, Ahmad Zaki, and Nur Syuaiba. "Solusi Numerik Model Matematika SIRI Metode Perturbasi Homotopi dalam Penggunaan E-money Sistem E-parking." Journal of Mathematics Computations and Statistics 5, no. 1 (2022): 20. http://dx.doi.org/10.35580/jmathcos.v5i1.32246.

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Penelitian ini merupakan penelitian terapan mengenai penerapan metode Perturbasi Homotopi untuk mencari solusi numerik model matematika SIRI dalam penggunaan E-money sistem E-parking dengan metode Perturbasi Homotopi. Data yang digunakan adalah data yang diperoleh dengan membagikn angket kepada 236 responden secara acak di lokasi penelitian yaitu Mall Panakkukang, Mall Nipah dan Mall Ratu Indah. Pembahasan dimulai dari penentuan solusi umum dengan metode Perturbasi Homotopi, penentuan parameter, simulasi dan analisis hasil. Dalam penelitian ini diperoleh grafik pergerakan dari model SIRI denga
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Saeed, Rostam K., and Rebwar S. Muhammad. "Solving Coupled Hirota System by Using Homotopy Perturbation and Homotopy Analysis Methods." Journal of Zankoy Sulaimani - Part A 17, no. 2 (2015): 201–18. http://dx.doi.org/10.17656/jzs.10394.

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K, Nandhini, and Sumathi M. "New and Modified Homotopy Perturbation Methods for Addressing Burger's Non-linear Equation." Indian Journal of Science and Technology 17, no. 38 (2024): 4019–29. https://doi.org/10.17485/IJST/v17i38.2029.

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Abstract <strong>Objectives:</strong>&nbsp;The aim of this study is to find a novel solution procedure for solving a fluid dynamical problem, especially to solve two-dimensional coupled Burger&rsquo;s non-linear equation.&nbsp;<strong>Methods:</strong>&nbsp;New and Modified homotopy perturbation techniques are used to solve the two-dimensional coupled Burger&rsquo;s equation. The methods intend to make homotopy perturbation method a more robust and trustworthy tool for fluid dynamics researchers by addressing convergence concerns, improving solution accuracy and allowing it to handle a broader
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K.C. Mishra, K. C. Mishra. "Inverse Homotopy Perturbation Method for Nonlinear systems." International Journal of Scientific Research 2, no. 4 (2012): 61–64. http://dx.doi.org/10.15373/22778179/apr2013/86.

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Nandhini, K., and M. Sumathi. "New and Modified Homotopy Perturbation Methods for Addressing Burger’s Non-linear Equation." Indian Journal Of Science And Technology 17, no. 38 (2024): 4019–29. http://dx.doi.org/10.17485/ijst/v17i38.2029.

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Objectives: The aim of this study is to find a novel solution procedure for solving a fluid dynamical problem, especially to solve two-dimensional coupled Burger’s non-linear equation. Methods: New and Modified homotopy perturbation techniques are used to solve the two-dimensional coupled Burger’s equation. The methods intend to make homotopy perturbation method a more robust and trustworthy tool for fluid dynamics researchers by addressing convergence concerns, improving solution accuracy and allowing it to handle a broader range of problems. Findings: The solution for two-dimensional coupled
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Dissertations / Theses on the topic "Homotopy perturbation"

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Thapa, Chandra B. "On the Homotopy Perturbation Method for Nonlinear Oscillators." Bowling Green State University / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1570793395580841.

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Quarcoo, Joseph. "Contributions to the degree theory for perturbation of maximal monotone maps." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001654.

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TU, SHANSHAN. "Case Influence and Model Complexity in Regression and Classification." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1563324139376977.

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El, Mokhtari Rachid. "Solveurs multigrilles et méthode de perturbation." Metz, 2002. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/2002/El_Mokhtari.Rachid.SMZ0229.pdf.

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Dans ce travail de thèse, nous avons proposé deux nouvelles classes d'algorithmes à deux grilles pour résoudre les problèmes d'élasticité de grande taille. Ces méthodes sont basées sur l'association des techniques d'homotopie, de perturbation et sur les approximants de Padé. Un premier algorithme s'appuie sur une décomposition des variables en variables globales (maillage grossier) et variables locales (maillage fin). Cette méthode ne se couple facilement qu'avec un lisseur diagonal. Des résultats numériques ont montré que cet algorithme est beaucoup plus rapide que les méthodes multigrilles c
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El, Mokhtari Rachid Potier-Ferry Michel. "Solveurs multigrilles et méthode de perturbation." Metz : Université Metz, 2008. ftp://ftp.scd.univ-metz.fr/pub/Theses/2002/El_Mokhtari.Rachid.SMZ0229.pdf.

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Asfaw, Teffera Mekonnen. "Topological Degree and Variational Inequality Theories for Pseudomonotone Perturbations of Maximal Monotone Operators." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4433.

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Let X be a real reflexive locally uniformly convex Banach space with locally uniformly convex dual space X* . Let G be a bounded open subset of X. Let T:X⊃ D(T)⇒ 2X* be maximal monotone and S: X ⇒ 2X* be bounded pseudomonotone and such that 0 notin cl((T+S)(D(T)∩partG)). Chapter 1 gives general introduction and mathematical prerequisites. In Chapter 2 we develop a homotopy invariance and uniqueness results for the degree theory constructed by Zhang and Chen for multivalued (S+) perturbations of maximal monotone operators. Chapter 3 is devoted to the construction of a new topological degre
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Doan, Van Tu. "Modèles réduits pour des analyses paramètriques du flambement de structures : application à la fabrication additive." Thesis, Valenciennes, 2018. http://www.theses.fr/2018VALE0017/document.

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Le développement de la fabrication additive permet d'élaborer des pièces de forme extrêmement complexes, en particulier des structures alvéolaires ou "lattices", où l'allégement est recherché. Toutefois, cette technologie, en très forte croissance dans de nombreux secteurs d'activités, n'est pas encore totalement mature, ce qui ne facilite pas les corrélations entre les mesures expérimentales et les simulations déterministes. Afin de prendre en compte les variations de comportement, les approches multiparamétriques sont, de nos jours, des solutions pour tendre vers des conceptions fiables et r
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Do, Hai Quan. "Modèles réduits et propagation d'incertitude pour les problèmes de contact frottant et d'instabilité vibratoire." Thesis, Valenciennes, 2015. http://www.theses.fr/2015VALE0036/document.

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Afin d'améliorer la qualité des produits et tendre vers des conceptions fiables et robustes, la simulation numérique joue de nos jours un rôle clé dans de nombreux secteurs de l'ingénierie. Malgré l'utilisation de modèles de plus en plus complexes et réalistes, les corrélations entre les mesures expérimentales et les simulations déterministes ne s'avèrent pas toujours évidentes, en particulier, si le phénomène observé est de nature fugace. Afin de prendre en compte les variations possibles de comportement, des techniques de tirages multiples comme les plans d'expériences, les analyses de sensi
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Sahoo, Malika. "Some Applications of Homotopy Perturbation Method." Thesis, 2015. http://ethesis.nitrkl.ac.in/7072/1/Some_Sahoo_2015.pdf.

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In this thesis paper, I review the basic idea of Homotopy perturbation method (HPM), Modified Homotopy perturbation method (MHPM) and Homotopy perturbation transform method (HPTM). Then apply these on some higher order non-linear problems.Further, I tried to compare the results obtained from Modified homotopy perturbation method with HPM using the Sine-Gordon and fractional Klein-Gordon equation respectively. Homotopy perturbation transform method is the coupling of homotopy perturbation and Laplace transform method. Lastly, I applied the homotopy perturbation and homotopy perturbation transfo
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Liu, Kai-yuan, and 劉凱元. "Homotopy Perturbation Method for Van Der Pol Equation." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/63672681267689054510.

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碩士<br>國立政治大學<br>應用數學研究所<br>93<br>In this thesis, we study the limit cycle of van der Pol equation for parameter ε>0. We give some approximate results to the limit cycle by using the modified homotopy perturbation technique. In constract to the traditional perturbation methods, this homotopy method does not require a small parameter in the equation. Besides, we also devise a new algorithm to find the approximate amplitude and frequency of the limit cycle.
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Books on the topic "Homotopy perturbation"

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Liao, Shijun. Beyond perturbation: Introduction to homotopy analysis method. Chapman & Hall/CRC Press, 2004.

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NATO Advanced Study Institute on Deformation Theory of Algebras and Structures and Applications (1986 Castelvecchio Pascoli, Italy). Deformation theory of algebras and structures and applications. Kluwer, 1988.

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France, Société mathématique de, ed. Views of parameter space: Topographer and resident. Société mathématique de France, 2003.

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Beyond perturbation: Introduction to the homotopy analysis method. Chapman & Hall/CRC Press, 2004.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.

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Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mathematics and Mechanics). Chapman & Hall/CRC, 2003.

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Book chapters on the topic "Homotopy perturbation"

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Marinca, Vasile, and Nicolae Herisanu. "The Optimal Homotopy Perturbation Method." In Nonlinear Dynamical Systems in Engineering. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22735-6_7.

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Odibat, Zaid, and Cyrille Bertelle. "Application of Homotopy Perturbation Method for Ecosystems Modelling." In Understanding Complex Systems. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88073-8_5.

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Zephania, C. F. Sagar, and Tapas Sil. "An improved homotopy perturbation method to study damped oscillators." In Aerospace and Associated Technology. Routledge, 2022. http://dx.doi.org/10.1201/9781003324539-70.

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Zulkarnain, F. S., Z. K. Eshkuvatov, N. M. A. Nik Long, and F. Ismail. "Modified Homotopy Perturbation Method for Fredholm–Volterra Integro-Differential Equation." In Recent Advances in Mathematical Sciences. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0519-0_4.

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Dubey, Shweta, and S. Chakraverty. "Homotopy Perturbation Method for Solving Fuzzy Fractional Heat-Conduction Equation." In Advances in Fuzzy Integral and Differential Equations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73711-5_6.

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Jani, Haresh P., and Twinkle R. Singh. "Aboodh Transform Homotopy Perturbation Method for Solving Newell–Whitehead–Segel Equation." In Computational and Analytic Methods in Biological Sciences. River Publishers, 2023. http://dx.doi.org/10.1201/9781003393238-9.

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Yazid, Nazatulsyima Mohd, Kim Gaik Tay, Yaan Yee Choy, and Azila Md Sudin. "Solving Nonlinear Schrodinger Equation with Variable Coefficient Using Homotopy Perturbation Method." In Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-2772-7_26.

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Fatima, Nahid, and Monika Dhariwal. "Solutions of Differential Equations for Prediction of COVID-19 Cases by Homotopy Perturbation Method." In Intelligent Computing Applications for COVID-19. CRC Press, 2021. http://dx.doi.org/10.1201/9781003141105-3.

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Georgieva, Atanaska, and Artan Alidema. "Convergence of Homotopy Perturbation Method for Solving of Two-Dimensional Fuzzy Volterra Functional Integral Equations." In Advanced Computing in Industrial Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97277-0_11.

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Jyoti, Sumeet Gill, Rajbala Rathee, and Neha Phogat. "The Effects of Lipid Concentration on Blood Flow Through Constricted Artery Using Homotopy Perturbation Method." In Emerging Trends in Expert Applications and Security. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-99-1909-3_7.

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Conference papers on the topic "Homotopy perturbation"

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Liu, Yapeng, and Xiaoshan Zhao. "Application of Homotopy Perturbation Method in Solving Fractional Cahn-Allen Equation." In 2024 3rd International Conference on Cloud Computing, Big Data Application and Software Engineering (CBASE). IEEE, 2024. https://doi.org/10.1109/cbase64041.2024.10824608.

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Biazar, Jafar, Zainab Ayati, and Hamideh Ebrahimi. "Comparing Homotopy Perturbation Method and Adomian Decomposition Method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2008. American Institute of Physics, 2008. http://dx.doi.org/10.1063/1.2991054.

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Kwak, Sangmin, Youngseo Kim, Sukjoon Pyun, and Changsoo Shin. "Frequency‐domain homotopy inversion using the perturbation theory." In SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2011. http://dx.doi.org/10.1190/1.3627724.

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Gupta, Neelam, and Neel Kanth. "Study of heat flow in a rod using homotopy analysis method and homotopy perturbation method." In EMERGING TRENDS IN MATHEMATICAL SCIENCES AND ITS APPLICATIONS: Proceedings of the 3rd International Conference on Recent Advances in Mathematical Sciences and its Applications (RAMSA-2019). Author(s), 2019. http://dx.doi.org/10.1063/1.5086635.

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Chen, Xiu Rong, and Jia Shang Yu. "The Homotopy Analysis Method to Solve Perturbation MKdV Equation." In 2012 International Conference on Computer Science and Electronics Engineering (ICCSEE). IEEE, 2012. http://dx.doi.org/10.1109/iccsee.2012.422.

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Sornkaew, Pilasluck. "Laplace homotopy perturbation method for the Rosenau–Hyman equations." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON APPLIED SCIENCE AND TECHNOLOGY (ICAST’18). Author(s), 2018. http://dx.doi.org/10.1063/1.5055539.

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Dasanayake, Isuru, Anatoly Zlotnik, Wei Zhang, and Jr-Shin Li. "Optimal control of neurons using the homotopy perturbation method." In 2013 IEEE 52nd Annual Conference on Decision and Control (CDC). IEEE, 2013. http://dx.doi.org/10.1109/cdc.2013.6760401.

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Jassim, Hassan Kamil, Ali Thamir Salman, Hijaz Ahmad, Nabeel Jawad Hassan, and Ayed E. Hashoosh. "Solving nonlinear fractional PDEs by Elzaki homotopy perturbation method." In 2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0161551.

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Mojahedi, Mahdi, Hamid Moeenfard, and Mohammad Taghi Ahmadian. "Nonlinear Vibration and Buckling Analysis of Beams Using Homotopy Perturbation Method." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-39592.

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In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational and buckling analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin’s decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differential equation. Homotopy and modified Lindstedt-Poincare (HPM) are applied to find analytic expressions for nonlinear natural frequencies and critical axial loads of the beams. Effects of d
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Fatima, Nahid. "Homotopy Perturbation Method for Solving Boussinesq and Fishers Type Equations." In 2016 Second International Conference on Computational Intelligence & Communication Technology (CICT). IEEE, 2016. http://dx.doi.org/10.1109/cict.2016.101.

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