Author/Authors :
فردي، مجتبي نويسنده Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran, Fardi, Mojtaba , كاظمي، ابراهيم نويسنده , , حاتمي بروجني، فرشاد نويسنده Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran, Hemati Boroujeni, Farshad , غضنفري، كاظم نويسنده Department of Mathematics, Islamic Azad University, Najafabad Branch, Najafabad, Iran, Ghazanfari, Kazem
Abstract :
In this paper, we present a biparametric homotopy method to solve and nonlinear mixed Volterra integral equations. This homotopy contains two auxiliary parameters
and that provide a simple way of controlling the convergence region of series solution. This homotopy provides us with a convenient way to increase the convergence region of approximation series. The method is computationally very simple and attractive and numerical examples illustrate the efficiency and accuracy of the method.