A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer-Reference-Cited by-同舟云学术

A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer

Published:2019-08-19 Issue:6 Volume:35 Page:2407-2422
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Munyakazi Justin B.¹^ORCID,Patidar Kailash C.¹,Sayi Mbani T.¹

Affiliation:

1. Department of Mathematics and Applied MathematicsUniversity of the Western Cape Bellville South Africa

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22420

Reference30 articles.

1. Fitted Numerical Methods for Singular Perturbation Problems

2. A priori estimates and analysis of a numerical method for a turning point problem

3. Singularly perturbed differential equations with discontinuous coefficients and concentrated factors;Angelov I. T.;Appl. Math. Comput.,2004

4. A uniformly convergent method for a singularly perturbed semi linear reaction‐diffusion problem with discontinuous data;Boglaev I.;Appl. Math. Comput.,2006

5. Singularly perturbed convection–diffusion problems with boundary and weak interior layers

Cited by 14 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 parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems;Journal of Applied Mathematics and Computing;2024-07-24

2. Stability and Error Analysis of an Efficient Numerical Method for Convection Dominated Parabolic PDEs with Jump Discontinuity in Source Function on Modified Layer-Adapted Mesh;Computational Mathematics and Mathematical Physics;2024-03

3. Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time;Applied Numerical Mathematics;2024-02

4. Fitted mesh scheme for singularly perturbed parabolic convection–diffusion problem exhibiting twin boundary layers;Reaction Kinetics, Mechanisms and Catalysis;2023-11-30

5. An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer;Mathematics and Computers in Simulation;2023-09