An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection–diffusion–reaction equations-Reference-Cited by-同舟云学术

An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection–diffusion–reaction equations

Published:2023-02 Issue:1 Volume:138 Page:
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Gulen Seda

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10665-022-10249-0.pdf

Reference62 articles.

1. Chen Z, Gumel AB, Mickens RE (2003) Nonstandard discretizations of the generalized Nagumo reaction–diffusion equation. Numer Methods Partial Differ Equ 19(3):363–379

2. Namjoo M, Zeinadini M, Zibaei S (2018) Nonstandard finite-difference scheme to approximate the generalized Burgers–Fisher equation. Math Methods Appl Sci 41(17):8212–8228

3. Chen Y, Zhang T (2019) A weak Galerkin finite element method for Burgers$$^{\prime }$$ equation. J Comput Appl Math 348(1):103–119

4. Kumar S, Saha Ray S (2021) Numerical treatment for Burgers–Fisher and generalized Burgers–Fisher equations. Math Sci 15:21–28

5. Khater AH, Temsah RS, Hassan MM (2008) A Chebyshev spectral collocation method for solving Burgers$$^{\prime }$$-type equations. J Comput Appl Math 222(2):333–350

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