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

Qin Sheng & A. Q. M. Khaliq

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

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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 KW - Crank-Nicolson method KW - quenching singularity KW - degeneracy KW - stability KW - monotonicity KW - 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 & A. Q. M. Khaliq. (1970). 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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