Abstract
In this article, He’s homotopy perturbation method was applied in a variant way to solve the system of Volterra integral equations of first kind. The results reveal that the proposed approach is very efficient for handling such system of integral equations. Some examples are given to show the ability of the proposed modification. Key words: Integral equations, Volterra integral equations of first kind, homotopy perturbation method.
Highlights
The application of homotopy perturbation method (HPM) (He, 1999) was studied by many scientist and engineers because this method continuously reduces a nonlinear problem into a set of linear one which is easy to handle
A variant approach based on HPM was proposed to solve the system of Volterra integral equations of first kind of the form:
To explain the new approach, let us consider the system of Volterra integral equations of type (1)
Summary
A new approach to homotopy perturbation method for solving systems of Volterra integral equations of first kind. He’s homotopy perturbation method was applied in a variant way to solve the system of Volterra integral equations of first kind. The results reveal that the proposed approach is very efficient for handling such system of integral equations. Some examples are given to show the ability of the proposed modification
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