On the computation of blow-up solutions for semilinear ODEs and parabolic PDEs
Summary: 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.
scientific article; zbMATH DE number 6173060