Solving Mixed Volterra-Fredholm Integro Differential Equations by Using HAM

Authors : Ahmed Hamoud, Nedal Mohammed, Kirtiwant Ghadle

Pages : 18-25

View : 9 | Download : 5

Publication Date : 2020-06-29

Article Type : Research

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