Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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NUMERICAL STUDY OF THE SERIES SOLUTION METHOD TO ANALYSIS OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

  • ASIYA ANSARI (Department of Mathematics and Statistics, Integral University) ;
  • NAJMUDDIN AHMAD (Department of Mathematics and Statistics, Integral University) ;
  • ALI HASAN ALI (Department of Business Management, Al-imam University College and Technical Engineering College, Al-Ayen University)
  • Received : 2023.11.21
  • Accepted : 2024.04.15
  • Published : 2024.07.30
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Abstract

In this article, the Series Solution Method (SSM) is employed to solve the linear or non-linear Volterra integro-differential equations. Numerous examples have been presented to explain the numerical results, which is the comparison between the exact solution and the numerical solution, and it is found through the tables. The amount of error between the exact solution and the numerical solution is very small and almost nonexistent, and it is also illustrated through the graph how the exact solution completely applies to the numerical solution. This proves the accuracy of the method, which is the Series Solution Method (SSM) for solving the linear or non-linear Volterra integro-differential equations using Mathematica. Furthermore, this approach yields numerical results with remarkable accuracy, speed, and ease of use.

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Acknowledgement

The authors are grateful to the referees and the editor for their valuable suggestions and remarks that definitely improved the paper. The authors would like to thank the Integral University, Lucknow, India, for providing the manuscript number IU/R&D/2023-MCN0002260 to the present work.

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