Application of Rishi transform to the solution of nonlinear Volterra integral equation of the second kind
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Sudhanshu Aggarwal1,†, Rishi Kumar2 and Jyotsna Chandel3
Bull. Pure Appl. Sci. Sect. E Math. Stat.
42E(2), 186–193 (2023)
e-ISSN:2320-3226, Print ISSN:0970-6577
DOI: 10.48165/bpas.2023.42E.2.7
Description
Description
Sudhanshu Aggarwal1,†, Rishi Kumar2 and Jyotsna Chandel3
1. Department of Mathematics, National Post Graduate College,
Barhalganj, Gorakhpur, Uttar Pradesh-273402, India.
2. Research Scholar, Department of Mathematics, D. S. College,
Aligarh, Uttar Pradesh, India.
3. Department of Mathematics, D. S. College,
Aligarh, Uttar Pradesh, India.
1. E-mail: sudhanshu30187@gmail.com
2. E-mail: rishi.saraswat1987@gmail.com , 3. E-mail: jyotsnaraghuvanshi5@gmail.com
∗ Communicated, edited and typeset in Latex by Jyotindra C. Prajapati (Editor).
Received February 26, 2023 / Revised November 18, 2023 / Accepted November 21, 2023. Online First
Published on December 25, 2023 at https://www.bpasjournals.com/.
†Corresponding author Sudhanshu Aggarwal, E-mail: sudhanshu30187@gmail.com
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 suggests 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.
Key words Rishi transform, inverse Rishi transform, convolution, Upadhyaya transform, Volterra integral equation; Dirac Delta function.
2020 Mathematics Subject Classification 35A22, 44A05, 44A35, 45D05, 45G10.
