- Turkish Journal of Mathematics and Computer Science
- Vol: 14 Issue: 1
- A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin ...
A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh
Authors : Hakkı DURU, Mutlu DEMİRBAŞ
Pages : 145-154
Doi:10.47000/tjmcs.1010528
View : 8 | Download : 4
Publication Date : 2022-06-30
Article Type : Research
Abstract :In this paper, singularly perturbed quasilinear boundary value problems are taken into account. With this purpose, a finite difference scheme is proposed on Shishkin-type mesh (S-mesh). Quasilinearization technique and interpolating quadrature rules are used to establish the numerical scheme. Then, an error estimate is derived. A numerical experiment is demonstratedto verify the theory.Keywords : Boundary value problem, error estimate, difference scheme, Shishkin mesh