Analytic approximation of the blow-up time for nonlinear differential equations by the ADM-Padé technique (Q2847219)

From the authors' abstract: We present a new approach to calculate analytic approximations of blow-up solutions and their critical blow-up times. Our approach applies the Adomian decomposition-Padé method to quickly and easily compute the critical blow-up times, which comprises the Adomian decomposition method combined with the Padé approximants technique. We illustrate our new approach by means of a variety of numerical examples, including nonlinear ODEs, systems of nonlinear ODEs, and nonlinear PDEs.