Abstract
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.
Original language | English |
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Article number | 162034 |
Journal | Mathematical Problems in Engineering |
Volume | 2012 |
DOIs | |
Publication status | Published - 2012 |
ASJC Scopus subject areas
- General Mathematics
- General Engineering