AN ALMOST-SECOND-ORDER METHOD FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH NONSMOOTH CONVECTION COEFFICIENTS AND SOURCE TERMS

作者：Tamilselvan A^*; Ramanujam N

来源：International Journal of Computational Methods, 2010, 7(2): 261-277.

DOI：10.1142/S0219876210002167

• Singular perturbation problem
• weakly coupled system
• discontinuous convection term
• hybrid difference scheme
• shishkin mesh

In this paper, a weakly coupled system of two singularly perturbed convection-diffusion equations with discontinuous convection coefficients and source terms with Dirichlet type boundary conditions is considered. A hybrid finite difference scheme on a Shishkin mesh generating almost-second-order convergence in the maximum norm is constructed for solving this problem. To illustrate the theoretical results, numerical experiments are performed.

• 出版日期2010-6