EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, University of Kurdistan, Sanandaj, Iran.

Abstract

In this paper, we present the application of the double exponential non-classical sinc method for solving a specific class of singularly perturbed singular two-point boundary value problems. This method is particularly effective for problems with singularities, infinite domains, or boundary layers. We discuss the convergence and error estimation of our approach. Using three illustrative examples, we demonstrate the superior performance of our method compared to existing approaches.

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Articles in Press, Accepted Manuscript
Available Online from 26 February 2025
  • Receive Date: 21 October 2024
  • Revise Date: 28 January 2025
  • Accept Date: 17 February 2025