Numerical Solution of a Singularly Perturbed Elliptic Hyperbolic Partial Differential Equation on a Nonuniform Discretization Mesh

Wu Qi-guang; Sun Xiao-di

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(12): 1037-1044

Wu Qi-guang, Sun Xiao-di. Numerical Solution of a Singularly Perturbed Elliptic Hyperbolic Partial Differential Equation on a Nonuniform Discretization Mesh[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1037-1044.

Citation:

PDF( 453 KB)

Numerical Solution of a Singularly Perturbed Elliptic Hyperbolic Partial Differential Equation on a Nonuniform Discretization Mesh

Nanjing University, Nanjing

Received Date: 1991-10-18
Publish Date: 1992-12-15

Abstract

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 the upwind difference scheme is first order convergent,uniformly in the small parameter ε,to the solution of problem(1.1).Numerical results are finally provided.
- partial differential equation,
- singular perturbation problem,
- upwind difference scheme,
- nonuniform discretization mesh

FullText(HTML)

References(2)

References

[1]	王国英,二阶椭圆型偏微分方程奇异摄动问题的差分解法,高等学校计算数学学报,7(2)(1985),151-160.
[2]	王国英,二阶椭圆型偏微分方程奇异摄动问题的一族一致收敛差分格式,南京大学数学半年刊,2(1)(1988),102-106.