Academic literature on the topic 'Homotopy analysis method'
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Journal articles on the topic "Homotopy analysis method"
He, Ji-Huan. "Comparison of homotopy perturbation method and homotopy analysis method." Applied Mathematics and Computation 156, no. 2 (2004): 527–39. http://dx.doi.org/10.1016/j.amc.2003.08.008.
Full textS, Naghshband. "Solving the cubic complex Ginzburg-Laundau equation by Homotopy analysis method." Indian Journal of Science and Technology 13, no. 24 (2020): 2387–403. https://doi.org/10.17485/IJST/v13i24.54557.90477.
Full textAhmad Soltani, L., E. Shivanian, and Reza Ezzati. "Shooting homotopy analysis method." Engineering Computations 34, no. 2 (2017): 471–98. http://dx.doi.org/10.1108/ec-10-2015-0329.
Full textLiao, Shijun. "Comparison between the homotopy analysis method and homotopy perturbation method." Applied Mathematics and Computation 169, no. 2 (2005): 1186–94. http://dx.doi.org/10.1016/j.amc.2004.10.058.
Full textHe, Ji-Huan. "Homotopy Perturbation Method with an Auxiliary Term." Abstract and Applied Analysis 2012 (2012): 1–7. http://dx.doi.org/10.1155/2012/857612.
Full textNave, Ophir, Shlomo Hareli, and Vladimir Gol’dshtein. "Singularly perturbed homotopy analysis method." Applied Mathematical Modelling 38, no. 19-20 (2014): 4614–24. http://dx.doi.org/10.1016/j.apm.2014.03.013.
Full textHuseen, Shaheed N. "A Comparative Study of q-Homotopy Analysis Method and Liao’s Optimal Homotopy Analysis Method." Advances in Computer and Communication 1, no. 1 (2020): 36–45. http://dx.doi.org/10.26855/acc.2020.12.004.
Full textLIU, CHENG-SHI, and YANG LIU. "COMPARISON OF A GENERAL SERIES EXPANSION METHOD AND THE HOMOTOPY ANALYSIS METHOD." Modern Physics Letters B 24, no. 15 (2010): 1699–706. http://dx.doi.org/10.1142/s0217984910024079.
Full textMotsa, Sandile Sydney, Precious Sibanda, Gerald T. Marewo, and Stanford Shateyi. "A Note on Improved Homotopy Analysis Method for Solving the Jeffery-Hamel Flow." Mathematical Problems in Engineering 2010 (2010): 1–11. http://dx.doi.org/10.1155/2010/359297.
Full textKhawlah, H. Hussain. "New reliable modifications of the homotopy methods." Indonesian Journal of Electrical Engineering and Computer Science (IJEECS) 19, no. 1 (2020): 371–79. https://doi.org/10.11591/ijeecs.v19i1.pp371-379.
Full textDissertations / Theses on the topic "Homotopy analysis method"
Baxter, Mathew. "Analytical solutions to nonlinear differential equations arising in physical problems." Doctoral diss., University of Central Florida, 2014. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/6247.
Full textJain, Divyanshu. "MVHAM an extension of the homotopy analysis method for improving convergence of the multivariate solution of nonlinear algebraic equations as typically encountered in analog circuits /." Cincinnati, Ohio : University of Cincinnati, 2007. http://www.ohiolink.edu/etd/view.cgi?acc%5Fnum=ucin1194974755.
Full textGedicke, Joscha Micha. "On the numerical analysis of eigenvalue problems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16841.
Full textRodrigues, Carla Cristina Morbey. "Topological and dynamical complexity in epidemiological and ecological systems." Doctoral thesis, Universidade de Évora, 2017. http://hdl.handle.net/10174/21241.
Full textWise, Steven M. "POLSYS_PLP: A Partitioned Linear Product Homotopy Code for Solving Polynomial Systems of Equations." Thesis, Virginia Tech, 1998. http://hdl.handle.net/10919/36933.
Full textKangas, J. (Jani). "Separation process modelling:highlighting the predictive capabilities of the models and the robustness of the solving strategies." Doctoral thesis, Oulun yliopisto, 2014. http://urn.fi/urn:isbn:9789526203768.
Full textAwais, Muhammad. "Symmetry Transforms, Global Plasma Equilibria and Homotopy Analysis Method." Thesis, 2010. http://hdl.handle.net/1974/5987.
Full textMoghtadaei, Mohsen. "Spectral-Homotopy analysis method for solving a nonlinear second order BVP." Master's thesis, 2013. http://hdl.handle.net/10316/94880.
Full textWei-ChungTien and 田偉中. "Application of Homotopy Analysis Method for Non-linear Heat Transfer Problems." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/57842771834640598049.
Full textOguntala, George A., G. Sobamowo, Y. Ahmed, and Raed A. Abd-Alhameed. "Application of approximate analytical technique using the homotopy perturbation method to study the inclination effect on the thermal behavior of porous fin heat sink." 2018. http://hdl.handle.net/10454/16637.
Full textBooks on the topic "Homotopy analysis method"
Liao, Shijun. Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012.
Find full textLiao, Shijun. Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0.
Full textLiao, Shijun. Beyond perturbation: Introduction to homotopy analysis method. Chapman & Hall/CRC Press, 2004.
Find full textUnited States. National Aeronautics and Space Administration. Scientific and Technical Information Division., ed. An algebraic homotopy method for generating quasi-three-dimensional grids for high-speed configurations. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1989.
Find full textKazimierz, Gęba, Rabinowitz Paul H, and NATO Advanced Study Institute, eds. Topological methods in bifurcation theory. Presses de l'Université de Montréal, 1985.
Find full textKushkuley, Alexander. Geometric methods in degree theory for equivariant maps. Springer, 1996.
Find full textSpain) UIMP-RSME Lluis Santaló Summer (2012 Santander. Recent advances in real complexity and computation: UIMP-RSME Lluis A. Santaló Summer School, Recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain. Edited by Montaña, Jose Luis, 1961- editor of compilation and Pardo, L. M. (Luis M.), editor of compilation. American Mathematical Society, 2013.
Find full textLitvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor of compilation and Sergeev, S. N., 1981- editor of compilation, eds. Tropical and idempotent mathematics and applications: International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia. American Mathematical Society, 2014.
Find full textBeyond perturbation: Introduction to the homotopy analysis method. Chapman & Hall/CRC Press, 2004.
Find full textLiao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method. Taylor & Francis Group, 2003.
Find full textBook chapters on the topic "Homotopy analysis method"
Yang, Xiaoyan, and Zhiliang Lin. "Homotopy Analysis Method." In Encyclopedia of Ocean Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-10-6963-5_271-1.
Full textYang, Xiaoyan, and Zhiliang Lin. "Homotopy Analysis Method." In Encyclopedia of Ocean Engineering. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-10-6946-8_271.
Full textLiao, Shijun. "Optimal Homotopy Analysis Method." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_3.
Full textVajravelu, Kuppalapalle, and Robert A. van Gorder. "Further Applications of the Homotopy Analysis Method." In Nonlinear Flow Phenomena and Homotopy Analysis. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32102-3_6.
Full textLiao, Shijun. "Basic Ideas of the Homotopy Analysis Method." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_2.
Full textVajravelu, Kuppalapalle, and Robert A. van Gorder. "Application of the Homotopy Analysis Method to Fluid Flow Problems." In Nonlinear Flow Phenomena and Homotopy Analysis. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32102-3_5.
Full textWang, Qi, and Fenglian Fu. "Solving Delay Differential Equations with Homotopy Analysis Method." In Communications in Computer and Information Science. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15853-7_18.
Full textLiao, Shijun. "Some Methods Based on the HAM." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_6.
Full textLiao, Shijun. "Introduction." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_1.
Full textLiao, Shijun. "A Boundary-layer Flow with an Infinite Number of Solutions." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_10.
Full textConference papers on the topic "Homotopy analysis method"
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.
Full textGupta, 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.
Full textBai, Xiaoli, James Turner, and John Junkins. "A Robust Homotopy Method for Equality Constrained Nonlinear Optimization." In 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-5845.
Full textHajji, Mohamed A., and Fathi M. Allan. "Solving nonlinear boundary value problems using the homotopy analysis method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756537.
Full textZou, Li, Wang Zhen, Zong Zhi, and Tian Shoufu. "A study of the initial guess in Homotopy analysis method." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756543.
Full textPınar, Zehra. "Modified multi-frequency homotopy analysis method for evolution equations." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992704.
Full textSachit, Sahib Abdulkadhim, and Hassan Kamil Jassim. "Solving fractional PDEs by Elzaki homotopy analysis method." In INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING ICCMSE 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0115742.
Full textLiu, Yuliang, Jinshu Lu, Hua Zhang, and Lin Li. "Homotopy Analysis Method of Internet Congestion Control Model." In 2010 International Conference on Communications and Mobile Computing (CMC). IEEE, 2010. http://dx.doi.org/10.1109/cmc.2010.224.
Full textE. De Gaston, Raymond, and Michael Safonov. "A homotopy method for nonconservative stability robustness analysis." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268717.
Full textZhang, W., Y. H. Qian, M. H. Yao, and S. K. Lai. "Homotopy Analysis Method for Multi-Degree-of-Freedom Nonlinear Dynamical Systems." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28089.
Full textReports on the topic "Homotopy analysis method"
Watson, Layne T. Homotopy Methods in Control System Design and Analysis. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada251641.
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