Analytical Approximations for Nonlinear Integro-Differential Equations

In this work, we are concerned with how to find a solution for the nonlinear integralandointegro-differentialeequationsuusingttwoomethodsoLaplaceotransformiseriesidecomposition method (LTSDM) and Sumuduutransform series decomposition method(STSDM). In these methods, the nonlinear part of the equation described in Adomianidecomposition series. The Laplace and Sumudu methods are found to be reliable andaccurate. Four examples are discussed to check the applicability and the simplicity of thesemethods. Finally, the results are tabulated and displayed graphically to make comparisonsbetween the approximate and exact solutions.