International Journal of Nonlinear Analysis and Applications

Solving delay differential equations via Sumudu transform

Document Type : Research Paper

Authors

1 Institute for Systems Science & KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa

2 DSI-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS), Johannesburg, South Africa

3 KZN e-Skills CoLab, Durban University of Technology, Durban 4000, South Africa

4 Institute for Systems Science \& Office of the DVC Research, Innovation \& Engagement, Milena Court, Durban University of Technology, Durban 4000, South Africa

Abstract

A new technique which is known as Sumudu Transform Method (STM) is instituted for solving delay differential equations. STM is used to obtain the solutions of general nonlinear systems. The strength of STM is illustrated in reducing the complex computational work as compared to the well-known methods. This paper shows how to succinctly identify the Lagrange multipliers for nonlinear delay differential equations with variable coefficients, using the STM. The potency and suitability of the STM are exhibited by giving expository examples. The method is used to obtain the exact and approximate solutions of pantograph type equations with variable coefficients and nonlinear Volterra integro-differential equations of pantograph type.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 563-575
  • Receive Date: 17 February 2021
  • Accept Date: 20 March 2021