Solution of nonlinear Volterra integro-differential equations of the second kind using Accelerated Adomian Polynomials

1Ahmed Y. Sayed, Emad A. Sayed, Mahmoud H. Rashwan, I. L. El-Kalla

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Abstract:

In this paper, an accelerated Adomian polynomials deduced by EL-Kalla (2005, 2007) are used to solve a class of nonlinear integro-differential equations. Some examples investigated and it has found that EL-Kalla formula converges rapidly than the traditional formula of Adomian and the Laplace-Adomian modification, moreover it is programmable, and it saves time to get the approximate solutions with the same version of Matlab. Also, error analysis is established for every example.

Keywords:

Adomian decomposition method, Adomian polynomials, El-kalla polynomials and nonlinear integrodifferential equations, Laplace-Adomian modification.

Paper Details
Month6
Year2020
Volume24
IssueIssue 10
Pages2796-2807