Fourier Transform of Diffusion Equation with Non-linear Terms
نویسندگان
چکیده
منابع مشابه
Differential Transform Method to two-dimensional non-linear wave equation
In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...
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چکیده ندارد.
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We solve the Cauchy problem for the n-dimensional wave equation, where n is an odd integer, using elementary properties of the Fourier transform. We also show that the solution can be obtained by invoking Bessel functions. The wave equation has a rich history fraught with controversy, both mathematical, see [9], and physical, see [16]. It all started in 1747 when d’Alembert, in a memoir present...
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ژورنال
عنوان ژورنال: Transactions of the Japan Institute of Metals
سال: 1980
ISSN: 0021-4434,2432-4701
DOI: 10.2320/matertrans1960.21.458