Solving Mixed Volterra-Fredholm Integro Differential Equations by Using HAM

Year 2020, Volume: 12 Issue: 1, 18 - 25, 29.06.2020

Ahmed Hamoud Nedal Mohammed Kirtiwant Ghadle

Abstract

In this article, we discussed the semi-analytical approximated method for solving mixed Volterra-Fredholm integro-differential equations, namely, homotopy analysis method. Moreover, we prove the existence and uniqueness results and convergence of the technique. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.

Keywords

Volterra-Fredholm integro-differential equation, homotopy analysis method, approximate solution

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