期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 202, 期 2, 页码 544-549出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2008.02.043
关键词
Riemann-Liouville fractional derivative; fractional order diffusion equation; Adomian decomposition method; fourier cosine series; generalized cosine function
This paper presents the new approach for the solution of the space fractional diffusion equation defined infinite domain by Adomian decomposition method (ADM). A typical example of special interest with fractional space derivative of order alpha, 1 < alpha <= 2 is considered in the present analysis and solved by ADM after expressing the initial condition as Fourier series. The explicit solution of the space fractional diffusion equation has been presented in the closed form and then the numerical solution has been represented graphically. The behaviour of Adomian solutions and the effects of different values of a are shown graphically. (c) 2008 Elsevier Inc. All rights reserved.
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