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Computational Research Progress in Applied Science and Engineering
CRPASE 2020, 6(2), 104-107
An Efficient Approach for Solving the Linear and Nonlinear Integro Differential Equation
Department of Mathematics, Comsats University Islamabad, Attock Campus, Pakistan
ABSTRACT
In this article, we are utilizing variation of parameters method in integro differential equations. These equations assume a dynamic job in demonstrating of numerous physical developments in science and engineering. Motivated and inspired by these facts, we are applying successfully analytic technique to solve first-order Fredholm Integro Differential Equations (FIDE) and Voltera Integro Differential Equation (VIDE). The recommended technique is applied with no discretization, linearization, Perturbation, transformation, preventive presumptions and is liberated from Adomian’s polynomials. Various models are given to determine the legitimacy and appropriateness of the proposed technique.
Integro differential equation; Fredholm integro differential equation; Voltera integro differential equation; Variation of parameters method; Error. .