The use of Adomian decomposition method for solving problems in calculus of variations
type: Item
instance of: scholarly article
title: The use of Adomian decomposition method for solving problems in calculus of variations
zbMATH Open document ID: 1200.65050
DOI: 10.1155/MPE/2006/65379
author: Mehdi Dehghan
author: Mehdi Tatari
published in: Mathematical Problems in Engineering
publication date: 2010-12-01T00:00:00Z
review text: Summary: In this paper, a numerical method is presented for finding the solution of some variational problems. The main objective is to find the solution of an ordinary differential equation which arises from the variational problem. This work is done using Adomian decomposition method which is a powerful tool for solving large amount of problems. In this approach, the solution is found in the form of a convergent power series with easily computed components. To show the efficiency of the method, numerical results are presented.
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 5822551
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1155/mpe/2006/65379
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description: scientific article; zbMATH DE number 5822551