Modified Adomian Decomposition Method for Solving Volterra Integro-Differential Equations
摘要
This research article effectively demonstrates the implementation of the modified Adomian decomposition method (MADM). Using a numerical procedure called MADM, some classes of Volterra integro differential equations can be solved can be solved with easily computational and high degree of acuracy. The procedure relies on ADM approximate series solutions, Laplace transform, and Pade approximants. The efficacy and dependability of MADM is tested through a numerical example. The results acquired reveal that the provided approach is highly effective and robust in addressing this differential equation.