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在非均匀网格上解椭圆—双曲型偏微分方程奇异摄动问题
Numerical Solution of a Singularly Perturbed Elliptic Hyperbolic Partial Differential Equation on a Nonuniform Discretization Mesh
【摘要】 本文考察了椭圆一双曲型偏微分方程奇异摄动问题(1.1),证明了迎风差分格式在一特殊的非均匀网格上是一阶一致收敛的.最后给出了一些数值结果.
【Abstract】 In this paper, we consider the upwind difference scheme for singular perturbation problem (1.1). On a special discretization mesh, it is proved that the solution of upwind difference scheme is first order convergent, uniformly in the small parameter e, to the solution of problem (1.1). Numerical results are finally provided.
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,1992年12期
- 【被引频次】1
- 【下载频次】55