Advances in Difference Equations (Jun 2020)

A subdivision-based approach for singularly perturbed boundary value problem

  • Ghulam Mustafa,
  • Syeda Tehmina Ejaz,
  • Dumitru Baleanu,
  • Abdul Ghaffar,
  • Kottakkaran Sooppy Nisar

DOI
https://doi.org/10.1186/s13662-020-02732-8
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 20

Abstract

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Abstract A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. The numerical results along with the convergence, comparison and error estimation of the proposed approach are also presented.

Keywords