Numerical Solution of Volterra Integral Equations with a Weakly Singular Kernel Using the Seventh Order Non-Polynomial Spline Function Method

Abstract

In this paper, the seventh-order non-polynomial slice function (NPSF7) was used to solve the Volterra integrative equation of the second type with a weakly single kernel. New problems were applied to demonstrate the effectiveness and accuracy of our method. And also the comparison we have made between the results calculated by our method and the results obtained by other methods like NPSF1 and NPSF6 is provided in order to validate this method

Keywords

• volterra integral equation
• weakly singular kernel
• non-polynomial spline functions