Uniformly Convergent Difference Scheme for a Singularly Perturbed Problem of Mixed Parabolic-Elliptic Type

Author:

Brayanov Iliya A.

Publisher

Springer Berlin Heidelberg

Reference8 articles.

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2. Braianov, I.A., Vulkov, L.G.: Grid approximation for the solution of the singularly perturbed heat equation with concentrated capacity. J. Math. Anal. and Appl. 237, 672–697 (1999)

3. Braianov, I.A., Vulkov, L.G.: Uniform in a small parameter convergence of Samarskii’s monotone scheme and its modification for the convection-diffusion equation with a concentrated source. Comput. Math. Math. Phys. 40(4), 534–550 (2000)

4. Konnor, K.A., Tichy, J.A.: Analysis of an eddy current bearning. Journal of tribology 110, 320–326 (1988)

5. Miller, J.J.H., O’Riordan, E., Shishkin, G.I.: Fitted numerical methods for singular perturbation problems. World Scientific, Singapore (1996)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A numerical scheme to solve mixed parabolic-elliptic problem involving singular perturbation;International Journal of Computer Mathematics;2022-02-17

2. Numerical solution of a mixed singularly perturbed parabolic–elliptic problem;Journal of Mathematical Analysis and Applications;2006-08

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