Solution of nonlinear Volterra integro-differential equations of the second kind using Accelerated Adomian Polynomials
DOI:
https://doi.org/10.61841/whdj5273Keywords:
Adomian decomposition method, Adomian polynomials, El-kalla polynomials and nonlinear integro differential equations, Laplace-Adomian modificationAbstract
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.
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