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

被引：1

作者：

Prathap, T. ^{[1
]}

Rao, R. Nageshwar ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 10期

关键词：

singular perturbations; delay; differential equations; numerical methods; fitted mesh; splines; DIFFERENTIAL-DIFFERENCE EQUATIONS; NUMERICAL-SOLUTION;

D O I：

10.3934/math.20241285

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：26403 / 26434

页数：32

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