International Journal of Nonlinear Analysis and Applications

Modification and error analysis of an adaptive collocation method for solving delay differential equations

Document Type : Research Paper

Author

Department of Mathematics, Khansar Campus, University of Isfahan, Iran

Abstract

In this paper, we introduce an effective multistep collocation method for solving delay differential equations (DDEs) with constant delays. We determine the convergence properties of the proposed method for delay differential equations with solutions in appropriate Sobolev spaces and show that the proposed scheme enjoys spectral accuracy. Numerical results show that the proposed method can be implemented efficiently and accurately for various DDE model problems.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 7
July 2025
Pages 136-150
  • Receive Date: 13 June 2022
  • Accept Date: 14 September 2022