Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems-Reference-Cited by-同舟云学术

Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems

Published:2010-10-30 Issue:1 Volume:92 Page:1-32
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Mukherjee Kaushik,Natesan Srinivasan

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/s00607-010-0126-8.pdf

Reference24 articles.

1. Cai X, Liu F (2007) A Reynolds uniform scheme for singularly perturbed parabolic differential equation. ANZIAM J 47(EMAC-2005):C633–C648

2. Clavero C, Gracia JL, Lisbona F (2005) Higher-order numerical methods for one-dimensional parabolic singularly perturbed problems with regular layers. Numer Methods Partial Differ Equ 21: 149–169

3. Clavero C, Jorge JC, Lisbona F (1993) Uniformly convergent schemes for singular perturbation problems combining alternating directions and exponential fitting techniques. In: Miller JJH (ed) Applications of advanced computational methods for boundary and interior layers, pp 33–52

4. Clavero C, Jorge JC, Lisbona F (2003) A uniformly convergent scheme on a nonuniform mesh for convection—diffusion parabolic problems. J Comput Appl Math 154: 415–429

5. Deb BS, Natesan S (2008) Richardson extrapolation method for singularly perturbed coupled system of convection–diffusion boundary-value problems. CMES: Comput Model Eng Sci 38(2): 179–200

Cited by 38 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. Numerical approximation of parabolic singularly perturbed problems with large spatial delay and turning point;Engineering Computations;2024-06-26

2. Parameter uniform hybrid numerical method for time-dependent singularly perturbed parabolic differential equations with large delay;Applied Mathematics in Science and Engineering;2024-03-13

3. HIGHER-ORDER UNIFORM CONVERGENCE AND ORDER REDUCTION ANALYSIS OF A NOVEL FRACTIONAL-STEP FMM FOR SINGULARLY PERTURBED 2D PARABOLIC PDES WITH TIME-DEPENDENT BOUNDARY DATA;Journal of Applied Analysis & Computation;2024

4. Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection–diffusion–reaction problems with two small parameters;Demonstratio Mathematica;2024-01-01

5. An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag;Mathematics and Computers in Simulation;2023-12