A parameter-robust finite difference method for singularly perturbed delay parabolic partial differential equations

By Ali R. Ansari, S. Bakr, G. Shishkin. 2007

158 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/99b3649fb7b0e18f6f498d7457144097d4947eee

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Joginder Singh
2. Mukesh Kumar
3. Sunil Kumar

In Computational Theory and Mathematics

1. Joginder Singh
2. K. Sharma
3. Mukesh Kumar
4. Sunil Kumar

In Numerical Analysis

1. Komal Bansal
2. Joginder Singh
3. K. Sharma
4. Mukesh Kumar
5. Sunil Kumar
6. Behzad Ghanbari
7. Kailash C. Patidar

Citations in the corpus

• Numerical Treatment for the Class of Time Dependent Singularly Perturbed Parabolic Problems with General Shift Arguments (2017, background): “(iii) a(x) Changes sign in [0,1].”
• A domain decomposition method for solving singularly perturbed parabolic reaction‐diffusion problems with time delay (2018, methodology): “Note that our error analysis framework based on the new discrete maximum principle can also be used to analyse the numerical methods presented in [1, 2, 35] for problem (1)-(2), while if we apply the idea of analysis presented in [1, 2, 35] (which is based on method of steps as mentioned above) to a”