Fitted mesh methods based on non-polynomial splines for singularly perturbed boundary value problems with mixed shifts-Reference-Cited by-同舟云学术

Fitted mesh methods based on non-polynomial splines for singularly perturbed boundary value problems with mixed shifts

Published:2024 Issue:10 Volume:9 Page:26403-26434
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Prathap T.,Nageshwar Rao R.

Abstract

<p>In this paper, numerical schemes based on non-polynomial splines, namely, spline in compression, tension, and adaptive spline, are constructed for singularly perturbed boundary value problems with mixed shifts. A convergence analysis is carried out on the proposed methods. A comparitive study of the results is performed on test problems and presented in the form of tables. Graphs are drawn to illustrate the behavior of the solution to the problems.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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