๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A uniformly convergent difference scheme for the singular perturbation problem of a high order elliptic differential equation

โœ Scribed by Liu Guoqing; Su Yucheng

Publisher
Springer
Year
1996
Tongue
English
Weight
377 KB
Volume
17
Category
Article
ISSN
0253-4827

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we first consider the singularly perturbed, boundary value problem for the fourth-order elliptic differential equation, establish the priori estimation of the solution of the continuous problem. Then, we present an exponential fitted difference scheme and discuss the solution properties of the difference equations. Finally, the uniform convergence of this scheme with respect to the small parameter in the discrete energy norm, is proved.

๐Ÿ“œ SIMILAR VOLUMES

A uniformly difference scheme of singula
A uniformly difference scheme of singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition
โœ Bai Qingyuan; Lin Pengcheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 362 KB

In the paper, the method of separating singularity is applied to stud), the un{formly difference scheme of a singular perturbation problem for a semilinear ordinar)' differential equation with mixed boundary value condition. The uniform convergence on small parameter e of order one for an II'in type