Adomian Decomposition Method for Solving Differential Equations and Its Convergence

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Katebzadeh, Mojtaba | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 41290 (02)
University: Sharif University of Technology
Department: Mathematical Sciences
Advisor(s): Fotouhi Firouzabad, Morteza
Abstract:
In¬¬ this thesis we review adomian decomposition method in solving differential equations.First described the technique and then we will introduce two ways to obtain adomian polynomials.In the next section to ompare two methods of adomian decomposition and Taylor series with two examples, we will solve an example and compared decomposition method with the Picard method and finally using Cauchy-Kowalewski Theorm Convergence of answer Series shown and it will present a rate of convergence
Keywords:
Picard Method ; Adomian Decomposition Method ; Adomian Polynomials ; Cauchy-Kowalewski Theorm ; Taylor Series

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