1Assistant Professor, Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: sudhanshu30187@gmail.com
2Research Scholar, Department of Mathematics, D.S. College, Aligarh (Dr. Bhimrao Ambedkar University, Agra), Uttar Pradesh202001, India E-mail: rishi.saraswat1987@gmail.com
3Associate Professor, Department of Mathematics, D.S. College, Aligarh (Dr. Bhimrao Ambedkar University, Agra), Uttar Pradesh202001, India E-mail: jyotsnaraghuvanshi5@gmail.com
*Corresponding Author: Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India E-mail: sudhanshu30187@gmail.com
Online published on 28 December, 2022.
The problems of Engineering and Science can easily represent by developing their mathematical models in the terms of integral equations. Various analytical and numerical methods are available that can be used for solving integral equations of different kinds. In this paper, authors have considered recently developed integral transform “Rishi Transform” for obtaining the exact solution of non-linear Volterra integral equation of first kind (NLVIEFK). Four numerical problems have considered for demonstrating the complete procedure of determining the exact solution. Results of these problems depict that Rishi transform is very effective integral transform and it provides the exact solution of NLVIEFK without doing complicated calculation work.
Analytical Solution, Rishi Transform, Inverse Rishi Transform, Convolution, Volterra Integral Equation
