Solving Mixed Voltera-Fredholm Integro-Differential Equation by Two Numerical Approximation Methods

Abstract

In this paper, we present and define second kind linear mixed voltera-fredholm-integro differential equation (MVF-IDE-SK) and use two iterative approximate methods like Successive approximation method (SAM) and Adomian decomposition method (ADM), to solve this problem and algorithms of procedure for methods. The numerical problems were solved by mention methods, the outcomes are compared with the exact solution. The study confirm that techniques are valid, and can be generally applied to solve MVF-IDE-SK. For additional illustration. The convergence and uniqueness solution of the problems are stated and proved. The comparison between approximate and exact solutions, the error analysis and the computational efficacy, respectively.