On the Computation of Blow-up Solutions for Semilinear ODEs and Parabolic PDEs

الملخص 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.