THERMAL SCIENCE

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Rajeev Kabindra Nath Rai

,

Subir Das

SOLUTION OF ONE-DIMENSIONAL MOVING BOUNDARY PROBLEM WITH PERIODIC BOUNDARY CONDITIONS BY VARIATIONAL ITERATION METHOD

ABSTRACT
In this paper, the solution of the one dimensional moving boundary problem with periodic boundary conditions is obtained with the help of variational iterational method. By using initial and boundary values, the explicit solutions of the equations have been derived, which accelerate the rapid convergence of the series solution. The method performs extremely well in terms of efficiency and simplicity. The temperature distribution and the position of moving boundary are evaluated and numerical results are presented graphically.
KEYWORDS
moving boundary problem, variational iteration method, temperature distribution, interface position, Lagrange multiplier, Mittag-Leffler function, finite volume method
PAPER SUBMITTED: 2008-08-14
PAPER REVISED: 2008-10-05
PAPER ACCEPTED: 2008-10-09
DOI REFERENCE: https://doi.org/10.2298/TSCI0902199R
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2009, VOLUME 13, ISSUE Issue 2, PAGES [199 - 204]
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Solution of one-dimensional moving boundary problem with periodic boundary conditions by variational iteration method

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence