Application of Rishi transform to the solution of nonlinear Volterra integral equation of the second kind ∗

Sudhanshu Aggarwal; Rishi Kumar; Jyotsna Chandel

doi:10.48165/bpas.2023.42E.2.7

Authors

Sudhanshu Aggarwal Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur, Uttar Pradesh-273402, India.
Rishi Kumar Research Scholar, Department of Mathematics, D. S. College, Aligarh, Uttar Pradesh, India.
Jyotsna Chandel Department of Mathematics, D. S. College, Aligarh, Uttar Pradesh, India.

DOI:

https://doi.org/10.48165/bpas.2023.42E.2.7

Keywords:

Rishi transform, inverse Rishi transform, convolution, Upadhyaya trans form, Volterra integral equation, Dirac Delta function

Abstract

This paper aims to investigate the solution of non-linear Volterra integral equation of the second kind by using the Rishi transform. The solutions of two numerical problems in compact form are determined by applying the Rishi transform, which sug gests that the Rishi transform can be used as a tool for solving these and the other types of related real world problems across various disciplines.

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