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Vahidi, A.R., Babolian, E., Azimzadeh, Z. (2012) A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations. Journal of Applied Sciences, 12. 793-797 doi:10.3923/jas.2012.793.797

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Reference TypeJournal (article/letter/editorial)
TitleA Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations
JournalJournal of Applied Sciences
AuthorsVahidi, A.R.Author
Babolian, E.Author
Azimzadeh, Z.Author
Year2012 (August 1)Volume12
PublisherScience Alert
DOIdoi:10.3923/jas.2012.793.797Search in ResearchGate
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Mindat Ref. ID10342589Long-form Identifiermindat:1:5:10342589:6
GUID0
Full ReferenceVahidi, A.R., Babolian, E., Azimzadeh, Z. (2012) A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations. Journal of Applied Sciences, 12. 793-797 doi:10.3923/jas.2012.793.797
Plain TextVahidi, A.R., Babolian, E., Azimzadeh, Z. (2012) A Comparison Between Adomian’s Decomposition Method and the Homotopy Perturbation Method for Solving Nonlinear Differential Equations. Journal of Applied Sciences, 12. 793-797 doi:10.3923/jas.2012.793.797
In(n.d.) Journal of Applied Sciences Vol. 12. Science Alert

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., Omar K. Jaradat (2008) Adomian Decomposition Method for Solving Abelian Differential Equations. Journal of Applied Sciences, 8. 1962-1966 doi:10.3923/jas.2008.1962.1966
Kajani, M. Tavassoli, Ghasemi, M., Babolian, E. (2007) Comparison between the homotopy perturbation method and the sine–cosine wavelet method for solving linear integro-differential equations. Computers & Mathematics with Applications, 54. 1162-1168 doi:10.1016/j.camwa.2006.12.062
., A. Barari, ., Abdoul R. Ghotbi, ., F. Farrokhzad, ., D.D. Ganji (2008) Variational Iteration Method and Homotopy-Perturbation Method for Solving Different Types of Wave Equations. Journal of Applied Sciences, 8. 120-126 doi:10.3923/jas.2008.120.126
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Babolian, E., Azizi, A., Saeidian, J. (2009) Some notes on using the homotopy perturbation method for solving time-dependent differential equations. Mathematical and Computer Modelling, 50. 213-224 doi:10.1016/j.mcm.2009.03.003
Saadati, R., Shakeri, S., Vaezpour, S.M., Vahidi, J. (2009) Variational Iteration Method for Solving Integral Equations. Journal of Applied Sciences, 9. 799-800 doi:10.3923/jas.2009.799.800
Vahidi, J. (2024) Homotopy analysis method for solving the coupled differential equations: A comparative study. International Journal of Modern Physics C, 35 (12). doi:10.1142/s0129183124501560
Noorzad, R., Poor, A. Tahmasebi, Omidvar, M. (2008) Variational Iteration Method and Homotopy-Perturbation Method for Solving Burgers Equation in Fluid Dynamics. Journal of Applied Sciences, 8. 369-373 doi:10.3923/jas.2008.369.373
Barikbin, M.S., Vahidi, A.R., Damercheli, T., Babolian, E. (2020) An iterative shifted Chebyshev method for nonlinear stochastic Itô–Volterra integral equations. Journal of Computational and Applied Mathematics, 378. 112912pp. doi:10.1016/j.cam.2020.112912
Li, Jian-Lin (2009) Adomian’s decomposition method and homotopy perturbation method in solving nonlinear equations. Journal of Computational and Applied Mathematics, 228 (1). 168-173 doi:10.1016/j.cam.2008.09.007
 
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