Title of article :
Numerical solution of two-parameter singularly perturbed boundary value problems via exponential spline
Author/Authors :
Zahra, W.K. Tanta University - Faculty of Engineering - Department of Physics and Engineering Mathematics, Egypt , El Mhlawy, Ashraf M. Tanta University - Faculty of Engineering - Department of Physics and Engineering Mathematics, Egypt
Abstract :
In this paper, a singularly perturbed semi-linear boundary value problem with twoparameters is considered. The problem is solved using exponential spline on a Shishkin mesh. The convergence analysis is derived and the method is convergent independently of the perturbation parameters. Numerical results are presented which support the theoretical results.
Keywords :
Singular perturbation , Convection–diffusion , problems , Polynomial spline , Exponential spline , Shishkin mesh
Journal title :
Journal Of King Saud University - Science
Journal title :
Journal Of King Saud University - Science
