Optimal homotopy asymptotic method for solving Volterra integral equation of first kind

Abstract

In this paper, authors demonstrate the efficiency of optimal homotopy asymptotic method (OHAM). This is done by solving nonlinear Volterra integral equation of first kind. OHAM is applied to Volterra integral equations which involves exponential, trigonometric function as their kernels. It is observed that solution obtained by OHAM is more accurate than existing techniques, which proves its validity and stability for solving Volterra integral equation of first kind.

Keywords

• Optimal homotopy asymptotic method
• Integral equation
• Volterra first kind