Applied Mathematics and Computation, ( ISI ), Volume (195), No (1), Year (2008-1) , Pages (76-85)

Title : ( Moving Mesh Method With Local Time Step Refinement For Blow-up Problems )

Authors: Ali Reza Soheili , S. Salahshour ,

Citation: BibTeX | EndNote

In this paper, the dynamical moving mesh method is merged with the local time stepping technique and the new method is applied for blow-up problems. It has some benefit in approximating an accurate blow-up time by starting at any positive initial time (t0 > 0). Our numerical experiment shows that without applying the local time stepping method, wrong blow-up time will be obtained, if the equation integrates from t0 > 0.

Keywords

, Moving mesh method; Local time step refinement; Blow, up
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@article{paperid:1016056,
author = {Soheili, Ali Reza and S. Salahshour},
title = {Moving Mesh Method With Local Time Step Refinement For Blow-up Problems},
journal = {Applied Mathematics and Computation},
year = {2008},
volume = {195},
number = {1},
month = {January},
issn = {0096-3003},
pages = {76--85},
numpages = {9},
keywords = {Moving mesh method; Local time step refinement; Blow-up problem},
}

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%0 Journal Article
%T Moving Mesh Method With Local Time Step Refinement For Blow-up Problems
%A Soheili, Ali Reza
%A S. Salahshour
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2008

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