In this paper we consider a singularly perturbed quasilinear boundary value problem depending on a parameter. The problem is discretized using a hybrid difference scheme on Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independent of singular
Uniform fourth order difference scheme for a singular perturbation problem
β Scribed by Dragoslav Herceg
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- English
- Weight
- 734 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0029-599X
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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 properti