Turkish Journal of Mathematics and Computer Science
A Numerical Method for Solving Singularly Perturbed Quasilinear Boundary Value Problems on Shishkin Mesh
Yazarlar: ["Hakkı DURU", "Mutlu DEMİRBAŞ"]
Cilt - , Sayı Cilt: 14 Sayı: 1 , 2022 , Sayfalar -
Konular:-
DOI:10.47000/tjmcs.1010528
Anahtar Kelimeler:Boundary value problem,Error estimate,Difference scheme,Shishkin mesh
Özet: 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.
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