Some New Applications of Sumudu Transform for Solution of Linear Volterra Type Integral Equations

Eltaib M Abd Elmohmoud

Abstract: The applications of Volterra type integral equations in science and different fields utilizing integral equations to model physical eventsis not a novel idea. Similar to this, a lot of research is being done to develop precise and effective integral equation solution techniques. A few of Adomian Decomposition Method (ADM), Variational Iteration Method (VIM), and Method of Successive Approximation are notable techniques the Laplace transform method, the Galerkin method, and more. This study is focused on illustrating the usage of the Sumudu transform to solve linear Volterra integral equations, which also include equations of the convolutional kind as a single equational system. The chosen issues can be found in the literature. Using diverse analytical, semi-analytical, and numerical techniques. Techniques: Results from the use of the Sumudu transform have been compared to answers gained from other well-known.

Keywords: Sumudu Transform, Linear Volterra Integral Equation, Adomian Decomposition Method, Method of Successive Approximation, Laplace Sumudu Duality, LSD