abstract 88

Bulletin of Computational Applied Mathematics (Bull CompAMa) 

88

An efficient numerical scheme on adaptive mesh for solving singularly perturbed quasilinear boundary value problems (Research Paper)

Hakki Duru, Mutlu Demirbas, Baransel Gunes

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.

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

Cite this paper:

Duru H., Demirbas M., Gunes B.

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

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 12, No.1 pp.11-34, 2024.