Exact Solution of Non-Linear Volterra Integral Equation of First Kind Using Rishi Transform

Abstract

of integral equations. Various analytical and numerical methods are available that can be used for solving integralequations of different kinds. In this paper, authors have considered recently developed integral transform “RishiTransform” for obtaining the exact solution of non-linear Volterra integral equation of first kind (NLVIEFK). FourResults of these problems depict that Rishi transform is very effective integral transform and it provides the exactolution of NLVIEFK without doing complicated calculation workThe problems of Engineering and Science can easily represent by developing their mathematical models in the termsnumerical problems have considered for demonstrating the complete procedure of determining the exact solution.