Analytical Approximations for Nonlinear Integro-Differential Equations
DOI:
https://doi.org/10.23851/mjs.v30i3.675Keywords:
Nonlinear Intgro-Differential Equation of Second Kind, Adomian Decomposition Method, Laplace Transform, Sumudu Transform.Abstract
In this work, we are concerned with how to find a solution for the nonlinear integralandointegro-differentialeequationsuusingttwoomethodsoLaplaceotransformiseries
idecomposition method (LTSDM) and Sumuduutransform series decomposition method
(STSDM). In these methods, the nonlinear part of the equation described in Adomian
idecomposition series. The Laplace and Sumudu methods are found to be reliable and
accurate. Four examples are discussed to check the applicability and the simplicity of these
methods. Finally, the results are tabulated and displayed graphically to make comparisons
between the approximate and exact solutions.
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