Spline approximation methods for second order singularly perturbed convection-diffusion equation with integral boundary condition

被引：1

作者：

Puvaneswari, A. ^{[1
]}

Valanarasu, T. ^{[2
]}

机构：

[1] Anna Univ, Univ Coll Engn, Dept Math, BIT Campus, Tiruchirappalli 620024, Tamilnadu, India

[2] Bharathidasan Univ, Dept Math, CDOE, Tiruchirappalli 620024, Tamilnadu, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2024年

关键词：

Singular perturbation; Integral boundary condition; Variable mesh; Spline difference scheme; Collocation points; B-Spline functions; DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s13226-024-00692-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we considered a Singular Perturbation Problem (SPP) with an integral boundary condition. Two numerical methods, namely Variable Mesh Spline Approximation Method (VMSAM) and Cubic B-Spline Collocation Method (CBSCM) are discussed to obtain second order convergence in the supremum norm. Numerical examples are presented to validate the obtained results.

引用

页数：12

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