Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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SEMI-ANALYTICAL SOLUTIONS TO HOLLING-TANNER MODEL USING BOTH DIFFERENTIAL TRANSFORM METHOD AND ADOMIAN DECOMPOSITION METHOD

  • A.A. ADENIJI (Department of Mathematics and Statistics, Tshwane University of Technology) ;
  • M.C. KEKANA (Department of Mathematics and Statistics, Tshwane University of Technology) ;
  • M.Y. SHATALOV (Department of Mathematics and Statistics, Tshwane University of Technology)
  • Received : 2022.05.09
  • Accepted : 2023.05.10
  • Published : 2023.09.30
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Abstract

This paper summarizes some research findings that show how the differential transform method (DTM) is used to resolve the Holling-Tanner model. To confirm the application, effectiveness, and correctness of the approach, a comparison between the differential transform method (DTM) and the Adomian decomposition method (ADM) is carried out, and an accurate solution representation in truncated series is discovered. The approximate solution obtain using both techniques and comparison demonstrates same outcome which remains a preferred numerical method for resolving a system of nonlinear differential equations.

Keywords

Acknowledgement

The authors wish to thank Tshwane University of Technology for their financial support and the Department of Higher Education and Training, South Africa.

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