Uniformly convergent second-order difference scheme for a singularly perturbed periodical boundary value problem

作者：Cen Zhongdi^*

来源：International Journal of Computer Mathematics, 2011, 88(1): 196-206.

DOI：10.1080/00207160903370172

• singular perturbation
• periodical boundary value problem
• hybrid difference scheme
• Shishkin mesh
• uniform convergence

A periodic boundary value problem with a small parameter multiplying the first- and second-order derivatives is considered. The problem is discretized using a hybrid difference scheme on a Shishkin mesh. We show that the scheme is almost second-order convergent in the maximum norm, which is independent of a singular perturbation parameter. Numerical experiment supports these theoretical results.

• 出版日期2011
• 单位浙江万里学院