International Journal of Nonlinear Analysis and Applications

The numerical solution of the nonlinear system of stiff differential equations by the modified matrix-exponential method

Document Type : Research Paper

Authors

Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Babolsar, Iran

Abstract

In this paper, the modified matrix exponential (MME) method under zero-order hold (ZOH) assumption, is applied to solve systems of stiff ordinary differential equations. Some examples are given to illustrate the accuracy and effectiveness of the method. We compare our results with results obtained by matrix exponential (ME) method and by the Matlab ode23 solver.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 4
April 2024
Pages 339-347
  • Receive Date: 24 February 2023
  • Revise Date: 31 May 2023
  • Accept Date: 11 June 2023