• 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

  • From page
    201
  • To page
    208
  • 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
  • Record number

    2609444