Solution of Linear Volterra Integral Equation of Second Kind via Rishi Transform

Authors

  • S. Aggarwal Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur-273402, Uttar Pradesh, India
  • R. Kumar Department of Mathematics, D.S. College, Aligarh, Uttar Pradesh, India
  • J. Chandel Department of Mathematics, D.S. College, Aligarh, Uttar Pradesh, India

DOI:

https://doi.org/10.3329/jsr.v15i1.60337

Abstract

The solution of various problems of engineering and science can easily determined by representing these problems in integral equations. There are numerous analytical and numerical methods which can be used for solving different kinds of integral equations. In this paper, authors used recently developed integral transform “Rishi Transform” for obtaining the analytical solution of linear Volterra integral equation of second kind (LVIESK). For this, the kernel of LVIESK has assumed a convolution type kernel. Five numerical examples are considered for demonstrating the complete procedure of determining the solution. Results of these problems suggest that Rishi transform provides the exact analytical solution of LVIESK without doing complicated calculation work.

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Published

2023-01-01

How to Cite

Aggarwal, S., Kumar, R., & Chandel, J. (2023). Solution of Linear Volterra Integral Equation of Second Kind via Rishi Transform. Journal of Scientific Research, 15(1), 111–119. https://doi.org/10.3329/jsr.v15i1.60337

Issue

Vol. 15 No. 1 (2023)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

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