Accurate and approximate analytic solutions of singularly perturbed differential equations with two-dimensional boundary layers

Author:

Li Zi-Cai,Tsai Heng-Shuing,Wang Song,Miller John J.H.

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modeling and Simulation

Reference10 articles.

1. Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains, I. Convergence analysis;Li;J. Comput. Appl. Math.,2004

2. A new non-conforming Petrov-Galerkin finite element method with triangular elements for a singularly perturbed advection-diffusion problem;Miller;IMA J. Numer. Anal.,1994

3. Numerical Methods for Singularly Perturbed Differential Equations;Roos,1996

4. Fitted Numerical Methods for Singular Perturbation Problems;Miller,1996

5. Robust Computational Techniques for Boundary Layers;Farrell,2000

Cited by 3 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. The Tailored Finite Point Method;Computational Methods in Applied Mathematics;2014-07-01

2. Stability analysis for singularly perturbed differential equations by the upwind difference scheme;Numerical Methods for Partial Differential Equations;2013-12-20

3. A brief survey on numerical methods for solving singularly perturbed problems;Applied Mathematics and Computation;2010-12

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