Comparison of the Adomian decomposition method and the variational iteration method in solving the moving boundary problem |
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Authors: | Edyta Hetmaniok Damian Słota Roman Wituła Adam Zielonka |
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Affiliation: | Institute of Mathematics, Silesian University of Technology, Kaszubska 23, 44-100 Gliwice, Poland;National Engineering Laboratory for Modern Silk, College of Textile and Engineering, Soochow University, 199 Ren-ai Road, Suzhou 215123, China |
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Abstract: | In this paper, a comparison between two methods: the Adomian decomposition method and the variational iteration method, used for solving the moving boundary problem, is presented. Both of the methods consist in constructing the appropriate iterative or recurrence formulas, on the basis of the equation considered and additional conditions, enabling one to determine the successive elements of a series or sequence approximating the function sought. The precision and speed of convergence of the procedures compared are verified with an example. |
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