Modified Adomian Decomposition Method and Homotopy Perturbation Method for Higher-Order Singular Boundary Value Problems
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Date
2015
Authors
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Journal ISSN
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Publisher
Science International
Abstract
In this paper, we presented effective numerical methods for the approximate solution of nonlinear higher order
Boundary Value Problems (BVPs). We proposed a reliable modification of the Adomian Decomposition Method (MADM) that
will accelerate the rapid convergence of the series solution. He,s polynomials are also used to overcome the difficult
calculation. We also proposed the Homotopy Perturbation Method (HPM) which is highly accurate in witch only a few terms
are required to obtain accurate computable solution. The validity of the methods is verified through illustrative examples. The
results obtained demonstrate the accuracy and efficiency of the proposed methods.
Description
Keywords
Mathematics, Boundary Value Problems, Adomian Decomposition Method, Homotopy Perturbation Method. He,s polynomials
Citation
S., N. J., Shahid, N. A., Ali, A., Tabassum, M. F., & Umair, M. J. (2015). Modified Adomian Decomposition Method and Homotopy Perturbation Method for Higher-Order Singular Boundary Value Problems. Science International, 27(3), 1999-2004.(Muhammad Farhan Tabassum) (HEC Recognized Y Category)