کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1708419 1012823 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations
چکیده انگلیسی

In this paper, the Laplace decomposition method is employed to obtain approximate analytical solutions of the linear and nonlinear fractional diffusion–wave equations. This method is a combined form of the Laplace transform method and the Adomian decomposition method. The proposed scheme finds the solutions without any discretization or restrictive assumptions and is free from round-off errors and therefore, reduces the numerical computations to a great extent. The fractional derivative described here is in the Caputo sense. Some illustrative examples are presented and the results show that the solutions obtained by using this technique have close agreement with series solutions obtained with the help of the Adomian decomposition method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 24, Issue 11, November 2011, Pages 1799–1805
نویسندگان
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