Solution of a semilinear parabolic equation with an unknown control function using the decomposition procedure of Adomian |
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| Authors: | Mehdi Dehghan Mehdi Tatari |
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| Institution: | 1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, IranDepartment of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;2. Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran |
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| Abstract: | The investigation of nonclassical parabolic initial‐boundary value problems, which involve an integral over the spatial domain of a function of the desired solution, is of considerable concern. In this article a parabolic partial differential equation subject to energy overspecification is studied. This problem is appeared in modeling of many physical phenomena. The Adomian decomposition method, which is an efficient method for solving various class of problems, is employed for solving this model. This method provides an analytical solution in terms of an infinite convergent power series. Some examples are reported to support the simplicity of the decomposition procedure of Adomian. © 2006 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2007 |
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| Keywords: | inverse problem source control parameter quasilinear parabolic differential equation adomian decomposition method energy overspecification |
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