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Volume 2, Issue 3
A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations

Qin Sheng & A. Q. M. Khaliq

DOI: 10.4208/eajam.300412.200612a

East Asian J. Appl. Math., 2 (2012), pp. 185-203.

Published online: 2018-02

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  • Abstract

This article discusses key characteristics of a semi-adaptive finite difference method for solving singular degenerate reaction-diffusion equations. Numerical stability, monotonicity, and convergence are investigated. Numerical experiments illustrate the discussion. The study reconfirms and improves several of our earlier results.

  • Keywords

Semi-adaptation, Crank-Nicolson method, quenching singularity, degeneracy, stability, monotonicity, convergence.

  • AMS Subject Headings

65M06, 65M12, 65M50, 65Z05, 35K20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-2-185, author = {Qin Sheng and A. Q. M. Khaliq}, title = {A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {2}, number = {3}, pages = {185--203}, abstract = {

This article discusses key characteristics of a semi-adaptive finite difference method for solving singular degenerate reaction-diffusion equations. Numerical stability, monotonicity, and convergence are investigated. Numerical experiments illustrate the discussion. The study reconfirms and improves several of our earlier results.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.300412.200612a}, url = {http://global-sci.org/intro/article_detail/eajam/10921.html} }
TY - JOUR T1 - A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations AU - Qin Sheng & A. Q. M. Khaliq JO - East Asian Journal on Applied Mathematics VL - 3 SP - 185 EP - 203 PY - 2018 DA - 2018/02 SN - 2 DO - http://doi.org/10.4208/eajam.300412.200612a UR - https://global-sci.org/intro/article_detail/eajam/10921.html KW - Semi-adaptation, Crank-Nicolson method, quenching singularity, degeneracy, stability, monotonicity, convergence. AB -

This article discusses key characteristics of a semi-adaptive finite difference method for solving singular degenerate reaction-diffusion equations. Numerical stability, monotonicity, and convergence are investigated. Numerical experiments illustrate the discussion. The study reconfirms and improves several of our earlier results.

Qin Sheng and A. Q. M. Khaliq. (2018). A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations. East Asian Journal on Applied Mathematics. 2 (3). 185-203. doi:10.4208/eajam.300412.200612a
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