Please use this identifier to cite or link to this item:
|Title:||Numerical solution of quenching problems using mesh-dependent variable temporal steps||Authors:||Liang, K.W.
Implicit finite difference scheme
Nonlinear reaction-diffusion equations
|Issue Date:||May-2007||Citation:||Liang, K.W., Lin, P., Tan, R.C.E. (2007-05). Numerical solution of quenching problems using mesh-dependent variable temporal steps. Applied Numerical Mathematics 57 (5-7 SPEC. ISS.) : 791-800. ScholarBank@NUS Repository. https://doi.org/10.1016/j.apnum.2006.07.018||Abstract:||In this paper, we introduce a new adaptive method for computing the numerical solutions of a class of quenching parabolic equations which exhibit a solution with one singularity. Our method systematically generates an irregular mesh with mesh-dependent temporal increments based on the solution behavior from which an implicit finite difference scheme associated with the irregular mesh is constructed. The convergence and stability of the finite difference scheme is analyzed for the solution before quenching. An equivalent linearized model is used to justify the stability of the method near quenching as well. A numerical example is provided to demonstrate the viability of the proposed method. © 2006 IMACS.||Source Title:||Applied Numerical Mathematics||URI:||http://scholarbank.nus.edu.sg/handle/10635/103655||ISSN:||01689274||DOI:||10.1016/j.apnum.2006.07.018|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Oct 10, 2019
WEB OF SCIENCETM
checked on Oct 3, 2019
checked on Oct 12, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.