An efficient numerical scheme on adaptive mesh for solving singularly perturbed quasilinear boundary value problems

被引：0

作者：

Duru, Hakki ^{[1
]}

Demirbas, Mutlu ^{[1
]}

Gunes, Baransel ^{[1
]}

机构：

[1] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkiye

来源：

BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS | 2024年 / 12卷 / 01期

关键词：

Bakhvalov-type mesh; boundary value problem; difference scheme; error estimate; singular perturbation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the singularly perturbed quasilinear boundary value problem by numerically. Initially, some features of the analytical solution of the presented problem are given. Then, by using quasilinearization technique and interpolating quadrature formulas, the finite difference scheme is constructed on Bakhvalov-type mesh. The convergence estimations of the numerical scheme are provided and three examples are solved to demonstrate the efficiency of the suggested method. The main contribution of this paper is to ensure a uniform finite difference scheme for quasilinear problems with layer behavior.

引用

页码：11 / 34

页数：24

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