Analytic approximation of the blow-up time for nonlinear differential equations by the ADM-Padé technique
type: Item
instance of: scholarly article
title: Analytic approximation of the blow-up time for nonlinear differential equations by the ADM-Padé technique
zbMATH Open document ID: 1283.34031
author: Jun-Sheng Duan
author: Shi-Ming Lin
author: Randolph Rach
published in: Mathematical Methods in the Applied Sciences
publication date: 2013-09-04T00:00:00Z
Mathematics Subject Classification ID: 34C11
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 41A21
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 6205258
zbMATH Keywords: nonlinear equations
zbMATH Keywords: blow-up
zbMATH Keywords: Adomian decomposition method
zbMATH Keywords: Padé approximants
zbMATH Keywords: Adomian polynomials
MaRDI profile type: Publication
full work available at URL: mma.2725
OpenAlex ID: W2110418456
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DOI: 10.1002/MMA.2725
review text: 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.
reviewed by: Sergei A. Mazanik
description: scientific article; zbMATH DE number 6205258