On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We introduce an adaptive numerical method for computing blow-up solutions for ODEs and well-known reaction-diffusion equations.
The method is based on the implicit midpoint method and the implicit Euler method.
We demonstrate that the method produces superior results to the adaptive PECE-implicit method and the MATLAB solver of comparable order.
American Psychological Association (APA)
Dlamini, P. G.& Khumalo, Melusi. 2012. On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001359
Modern Language Association (MLA)
Dlamini, P. G.& Khumalo, Melusi. On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs. Mathematical Problems in Engineering No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-1001359
American Medical Association (AMA)
Dlamini, P. G.& Khumalo, Melusi. On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-1001359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001359
