Academic literature on the topic 'Adomian Decomposition Method'
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Journal articles on the topic "Adomian Decomposition Method"
Biazar, Jafar, and Mohsen Didgar. "Numerical Solution of Riccati Equations by the Adomian and Asymptotic Decomposition Methods over Extended Domains." International Journal of Differential Equations 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/580741.
Full textAbassy, Tamer A. "Improved Adomian decomposition method." Computers & Mathematics with Applications 59, no. 1 (January 2010): 42–54. http://dx.doi.org/10.1016/j.camwa.2009.06.009.
Full textHosseini, S. Gh, and S. Abbasbandy. "Solution of Lane-Emden Type Equations by Combination of the Spectral Method and Adomian Decomposition Method." Mathematical Problems in Engineering 2015 (2015): 1–10. http://dx.doi.org/10.1155/2015/534754.
Full textAbdy, Muhammad, Syafruddin Side, and Reza Arisandi. "Penerapan Metode Dekomposisi Adomian Laplace Dalam Menentukan Solusi Persamaan Panas." Journal of Mathematics, Computations, and Statistics 1, no. 2 (May 19, 2019): 206. http://dx.doi.org/10.35580/jmathcos.v1i2.9243.
Full textShaheed, N. H., and Y. Muhammad. "Adomian Decomposition Tarig Transform Method." Journal of Physics: Conference Series 2322, no. 1 (August 1, 2022): 012005. http://dx.doi.org/10.1088/1742-6596/2322/1/012005.
Full textBİLDİK, Necdet, and Sinan DENİZ. "MODIFIED ADOMIAN DECOMPOSITION METHOD FOR SOLVING RICCATI DIFFERENTIAL EQUATIONS." Review of the Air Force Academy 13, no. 3 (December 16, 2015): 21–26. http://dx.doi.org/10.19062/1842-9238.2015.13.3.3.
Full textOLAYİWOLA, Morufu Oyedunsi, and Kabiru KAREEM. "A New Decomposition Method for Integro-Differential Equations." Cumhuriyet Science Journal 43, no. 2 (June 29, 2022): 283–88. http://dx.doi.org/10.17776/csj.986019.
Full textLai, Xian-Jing, Jie-Fang Zhang, and Jian-Fei Luo. "Adomian Decomposition Method for Approximating the Solution of the High-Order Dispersive Cubic-Quintic Nonlinear Schrödinger Equation." Zeitschrift für Naturforschung A 61, no. 5-6 (June 1, 2006): 205–15. http://dx.doi.org/10.1515/zna-2006-5-601.
Full textRichard, Metomou, and Weidong Zhao. "Padé-Sumudu-Adomian Decomposition Method for Nonlinear Schrödinger Equation." Journal of Applied Mathematics 2021 (March 5, 2021): 1–19. http://dx.doi.org/10.1155/2021/6626236.
Full textEl-Sayed El-Danaf, Talaat, Mfida Ali Zaki, and Wedad Moenaaem. "New numerical technique for solving the fractional Huxley equation." International Journal of Numerical Methods for Heat & Fluid Flow 24, no. 8 (October 28, 2014): 1736–54. http://dx.doi.org/10.1108/hff-07-2013-0216.
Full textDissertations / Theses on the topic "Adomian Decomposition Method"
Holmquist, Sonia. "AN EXAMINATION OF THE EFFECTIVENESS OF THE ADOMIAN DECOMPOSITION METHOD IN FLUID DYNAMIC APPLICATIONS." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2524.
Full textPh.D.
Department of Mathematics
Sciences
Mathematics PhD
McKee, Alex Clive Seymoore. "Analytical solutions of orientation aggregation models, multiple solutions and path following with the Adomian decomposition method." Thesis, Brunel University, 2011. http://bura.brunel.ac.uk/handle/2438/7349.
Full textŠustková, Apolena. "Řešení obyčejných diferenciálních rovnic neceločíselného řádu metodou Adomianova rozkladu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445455.
Full textLadeia, Cibele Aparecida. "A equação de transferência radiativa condutiva em geometria cilíndrica para o problema do escape do lançamento de foguetes." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/152738.
Full textIn this contribution we present a solution for the radiative conductive transfer equation in cylinder geometry. This solution is applied to simulate the radiation and temperature field together with conductive and radiative energy transport originated from the exhaust released in rocket launches. To this end we discuss a semi-analytical approach reducing the original equation, which is continuous in the angular variables, into an equation similar to the SN radiative conductive transfer problem. The solution is constructed using a composite method by Laplace transform and Adomian decomposition method. The recursive scheme is presented for the doubly discrete ordinate equations system together with parameter dependencies and their influence on heuristic convergence of the solution. The obtained solution allows then to construct the relevant near field to characterize the source term for dispersion problems when adjusting the model parameters such as emissivity, reflectivity, albedo and others in comparison to the observation, that are relevant for far field dispersion processes and may be handled independently from the present problem. In addition to the solution method we also report some solutions and numerical simulations.
Archalousová, Olga. "Singulární počáteční úloha pro obyčejné diferenciální a integrodiferenciální rovnice." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2011. http://www.nusl.cz/ntk/nusl-233525.
Full textBasto, Mário João Freitas de Sousa. "Adomian decomposition method, nonlinear equations and spectral solutions of burgers equation." Doctoral thesis, 2006. http://hdl.handle.net/10216/12555.
Full textBasto, Mário João Freitas de Sousa. "Adomian decomposition method, nonlinear equations and spectral solutions of burgers equation." Tese, 2006. http://hdl.handle.net/10216/12555.
Full textPa-YeeTsai and 蔡培毅. "Applications of the Hybrid Laplace Adomian Decomposition Method to Nonlinear Physical Systems." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/08208509569007412239.
Full text國立成功大學
機械工程學系碩博士班
98
The Laplace Adomian decomposition method (LADM) combines the numerical Laplace transform algorithm and the Admoian decomposition method (ADM). The truncated series solution solved by the LADM diverges rapidly as the applicable domain increases. However, the Pad? approximant extends the domain of the truncated series solution to obtain better accuracy and convergence. In this paper, a hybrid method of the LADM combined with the Pad? approximant, named the hybrid Laplace Adomian decomposition method is proposed to solve the nonlinear physical systems to demonstrate efficient and reliable results. The linearization and small parameter assumptions are unnecessary for solving the nonlinear system problems by the hybrid Laplace Adomian decomposition method. The LADM─Pad? approximant solution is easy to obtain to demonstrate a real nonlinear physical phenomenon, and the transformation of the boundary value conditions into an initial value problem is also unnecessary when solving a boundary value problem. Furthermore, the LADM─Pad? approximant solution is able to demonstrate a nonlinear physical system by an algebra form. So the calculation is no like the numerical method that every value needs to be known every time. The hybrid Laplace Adomian decomposition method has been successfully applied to solve various nonlinear problems such as, nonlinear pendulum systems, nonlinear oscillation systems, nonlinear control systems, and nonlinear fluid dynamic systems. The LADM-Pad? approximant solutions demonstrate efficient and reliable results and have been shown a good accuracy and convergence in comparison with the exact solutions and other numerical method solutions. Moreover, the LADM─Pad? approximant solutions have been demonstrated not only the superiority of the accuracy and convergence over both the ADM and LADM solutions, but also extended the applicable domain to overcome their drawbacks.
Hsu, Jung-Chang, and 徐榮昌. "Application of the Adomian Modified Decomposition Method to the Free Vibrations of Beams." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/45660886473944714312.
Full text國立成功大學
機械工程學系碩博士班
97
The paper solves the eigenvalue problems and deals with the free vibration problems by using the Adomian decomposition method (ADM) and Adomian modified decomposition method (AMDM). First, using the ADM, the eigenvalues and normalized eigenfunctions for the Strum-Liouville eigenvalue problem are solved, and the governing differential equation becomes a recursive algebraic equation and boundary conditions become simple algebraic frequency equations which are suitable for symbolic computation. Moreover, after some simple algebraic operations on these frequency equations any th natural frequency, the closed form series solution of any th mode shape can be obtained. Second, the free vibration problems of Euler-Bernoulli beam under various supporting conditions are discussed. Third, using the AMDM, the free vibration problems of an elastically restrained non-uniform Euler-Bernoulli beam with tip mass of rotatory inertia and eccentricity resting on an elastic foundation and subjected to an axial load are proposed. Some numerical results are given to illustrate the influence of the physical parameters on the natural frequencies of the dynamic system. Finally, this paper deals with free vibration problems of non-uniform Timoshenko beams. In this paper, the computed results agree well with those analytical and numerical results given in the literature. These results indicate that the present analysis is accurate, and provides a unified and systematic procedure which is simple and more straightforward than the other analyses.
Yu-ShengChang and 張又升. "Applications of the Hybrid Laplace Adomian Decomposition Method to Nonlinear Heat Transfer Problems." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/02149396582383943770.
Full text國立成功大學
機械工程學系
102
When we try to solve physical problems ,we usually build math models to approach our problems. Nonlinear terms are very common both in physical problems and math models, but they will complicate the solving process. In this paper , we use LADM method to solve nonlinear heat transfer problems. We have two cases , nonlinear fin system and nonlinear continuously moving plates system. Some parameters like Convection, radiation, slope of the thermal conductivity-temperature curve , slope of the surface emissivity-temperature curve are discussed. We found when dimensionless numbers as following increase:Nc、Nr 、B(which presents the conventional intensity to conductional intensity、radiative intensity to conductional intensity、surface emission , respectively)will speed up heat transfer in fin or plate. Dimensionless number A(which presents slope of the thermal conductivity-temperature curve)increases will make heat transfer more faster in fin or plate. Dimensionless number Pe(which presents peclet number) increases (if we have a constant fin length or plate length and constant thermal diffusivity )will make final temperature higher. Assuming a power law variation (decided by parameter m ) of the convection coefficient . Nonlinear terms can also be increased by parameter m . In conclusion, LADM is an effective way to solve nonlinear system. Following this paper , we can know more in material or fluid selecting.
Books on the topic "Adomian Decomposition Method"
Stephan, Andy. Die Adomian decomposition method zum Lösen nichtlinearer Gleichungen und Gleichungssysteme. GRIN Verlag GmbH, 2009.
Find full textBook chapters on the topic "Adomian Decomposition Method"
Sun, Kehui, Shaobo He, and Huihai Wang. "Adomian Decomposition Method." In Solution and Characteristic Analysis of Fractional-Order Chaotic Systems, 49–60. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3273-1_4.
Full textKeskin, Ali Ümit. "Adomian Decomposition Method (ADM)." In Boundary Value Problems for Engineers, 311–59. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-21080-9_7.
Full textDas, Prakash Kumar, and M. M. Panja. "An Improved Adomian Decomposition Method for Nonlinear ODEs." In Applied Mathematics, 193–201. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2547-8_18.
Full textKataria, K. K., and P. Vellaisamy. "Adomian Decomposition Method and Fractional Poisson Processes: A Survey." In Trends in Mathematics, 17–39. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-9227-6_2.
Full textSchmitt, Andreas, Martin Schreiber, and Michael Schäfer. "Additional Degrees of Parallelism Within the Adomian Decomposition Method." In Lecture Notes in Computational Science and Engineering, 111–26. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-93891-2_7.
Full textGoyal, Kavita, and Meenal Singhal. "Adomian Decomposition Method for Thermal Analysis of a Furnace." In Advances in Engineering Research and Application, 141–48. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04792-4_20.
Full textKelil, Abey S., and Appanah R. Appadu. "Shehu-Adomian Decomposition Method for Dispersive KdV-Type Equations." In Springer Proceedings in Mathematics & Statistics, 103–29. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-8177-6_8.
Full textKhandelwal, Yogesh, Gajendra Kumar Mahawar, and Rachana Khandelwal. "Fractional Models by Using Adomian Decomposition Method with Mahgoub Transformation." In Advances in Intelligent Systems and Computing, 139–51. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5414-8_12.
Full textBhattacharya, P., and S. Pal. "Solution of insect population model by using Laplace Adomian decomposition method." In Computational Science and Engineering, 169–72. CRC Press/Balkema, P.O. Box 11320, 2301 EH Leiden, The Netherlands, e-mail: Pub.NL@taylorandfrancis.com, www.crcpress.com – www.taylorandfrancis.com: CRC Press, 2016. http://dx.doi.org/10.1201/9781315375021-33.
Full textWazwaz, Abdul-Majid. "Adomian Decomposition Method Applied to Non-linear Evolution Equations in Soliton Theory." In Mathematics of Complexity and Dynamical Systems, 1–12. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-1806-1_1.
Full textConference papers on the topic "Adomian Decomposition 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 textBaleanu, Dumitru, and Abdelouahab Kadem. "Fractional One-Dimensional Transport Equation Within Spectral Method Combined With Modified Adomian Decomposition Method." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86878.
Full textConstantinescu, Radu, Carmen Ionescu, Mihai Stoicescu, Madalin Bunoiu, and Iosif Malaescu. "Adomian Decomposition Method for Quark Gluon Plasma Model." In PHYSICS CONFERENCE TIM-10. AIP, 2011. http://dx.doi.org/10.1063/1.3647049.
Full textGurrala, Gurunath, Aleksandar Dimitrovski, Srdjan Simunovic, and Pannala Sreekanth. "Numeric modified adomian decomposition method for power system simulations." In 2016 IEEE International Conference on Power System Technology (POWERCON). IEEE, 2016. http://dx.doi.org/10.1109/powercon.2016.7753948.
Full textMahiddin, Norhasimah, Siti Aishah Hashim Ali, Kamel Ariffin Mohd Atan, and Isthrinayagy S. Krishnarajah. "Modeling of Tumor Growth Based on Adomian Decomposition Method." In INTERNATIONAL CONFERENCE ON MATHEMATICAL BIOLOGY 2007: ICMB07. AIP, 2008. http://dx.doi.org/10.1063/1.2883872.
Full textMungkasi, Sudi, and Maria Febronia Sedho Dheno. "Adomian decomposition method used to solve the gravity wave equations." In INTERNATIONAL CONFERENCE ON ENGINEERING, SCIENCE AND NANOTECHNOLOGY 2016 (ICESNANO 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4968356.
Full textDispini, Meta, and Sudi Mungkasi. "Adomian decomposition method used to solve the shallow water equations." In THE 2016 CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCE FOR ADVANCED TECHNOLOGY (CONFAST 2016): Proceeding of ConFAST 2016 Conference Series: International Conference on Physics and Applied Physics Research (ICPR 2016), International Conference on Industrial Biology (ICIBio 2016), and International Conference on Information System and Applied Mathematics (ICIAMath 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4953980.
Full textDemir, Duygu Dönmez, and Erhan Koca. "The solution of a string model by adomian decomposition method." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912592.
Full textDuan, Nan, and Kai Sun. "Power system simulation using the multi-stage adomian decomposition method." In 2017 IEEE Power & Energy Society General Meeting (PESGM). IEEE, 2017. http://dx.doi.org/10.1109/pesgm.2017.8273740.
Full textTabatabaei, Khatereh. "Notice of Retraction: Solution of differential equations by Adomian decomposition method." In 2010 2nd International Conference on Computer Engineering and Technology (ICCET). IEEE, 2010. http://dx.doi.org/10.1109/iccet.2010.5485407.
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