Author:
AL-Mazmumy Mariam,Alsulami Aishah A.,Bakodah Huda O.,Alzaid Nawal
Abstract
The present manuscript examines different forms of Initial-Value Problems (IVPs) featuring various types of Ordinary Differential Equations (ODEs) by proposing a proficient modification to the famous standard Adomian decomposition method (ADM). The present paper collected different forms of inverse integral operators and further successfully demonstrated their applicability on dissimilar nonlinear singular and nonsingular ODEs. Furthermore, we surveyed most cases in this very new method, and it was found to have a fast convergence rate and, on the other hand, have high precision whenever exact analytical solutions are reachable.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
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