Variational problems with moving boundaries using decomposition method
type: Item
instance of: scholarly article
title: Variational problems with moving boundaries using decomposition method
zbMATH Open document ID: 1144.65308
DOI: 10.1155/2007/10120
author: Reza Memarbashi
published in: Mathematical Problems in Engineering
publication date: 2008-08-13T00:00:00Z
full work available at URL: https://eudml.org/doc/54477
review text: Summary: The aim of this paper is to present a numerical method for solving variational problems with moving boundaries. We apply the Adomian decomposition method on the Euler-Lagrange equation with boundary conditions that yield from transversality conditions and natural boundary conditions.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 49M27
zbMATH DE Number: 5311285
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
OpenAlex ID: W2024262794
cites work: Q4002340
cites work: On the geometrization of the Peano curve and the arithmetization of the Hilbert curve
cites work: Solving frontier problems of physics: the decomposition method
cites work: A review of the decomposition method in applied mathematics
cites work: Convergence of Adomian's method
cites work: New results for convergence of Adomian's method applied to integral equations
cites work: The use of Adomian decomposition method for solving the one-dimensional parabolic equation with non-local boundary specifications
cites work: Application of the Adomian decomposition method for two-dimensional parabolic equation subject to nonstandard boundary specifications
cites work: The use of Adomian decomposition method for solving problems in calculus of variations
cites work: The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
cites work: Solving the generalized Burgers-Huxley equation using the Adomian decomposition method
cites work: Numerical soliton-like solutions of the potential Kadomtsev-Petviashvili equation by the decomposition method
cites work: The decomposition method for Cauchy advection-diffusion problems
cites work: The decomposition method for linear, one-dimensional, time-dependent partial differential equations
cites work: Numerical solution of the Laplace equation in annulus by adomian decomposition method
cites work: Analytical approach to linear fractional partial differential equations arising in fluid mechanics
cites work: Analytical solution of a fractional diffusion equation by Adomian decomposition method
cites work: An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
cites work: Application of the Adomian decomposition method for the Fokker-Planck equation
cites work: A reliable modification of Adomian decomposition method
cites work: An analytic study of Fisher's equation by using Adomian decomposition method
cites work: The modified decomposition method and Padé approximants for a boundary layer equation in unbounded domain
cites work: A comparison between the variational iteration method and Adomian decomposition method
description: scientific article; zbMATH DE number 5311285