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Title
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NUMERICAL INVESTIGATION OF SPACE FRACTIONAL ORDER DIFFUSION EQUATION BY THE CHEBYSHEV COLLOCATION METHOD OF THE FOURTH KIND AND COMPACT FINITE DIFFERENCE SCHEME
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Type
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JournalPaper
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Keywords
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Space fractional order diffusion equation, compact finite difference, Chebyshev collocation method of the fourth kind, convergence, stability.
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Abstract
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This paper develops a numerical scheme for finding the approximate solution of space fractional order of the diffusion equation (SFODE). Firstly, the compact finite didierence (CFD) with convergence order O(t^2) is used for discretizing time derivative. Afterwards, the spatial fractional derivative is approximated by the Chebyshev collocation method of the fourth kind. Furthermore, time-discrete stability and convergence analysis are presented. Finally, two examples are numerically investigated by the proposed method. The examples illustrate the performance and accuracy of our method compared to existing methods presented in the literature.
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Researchers
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ِDumitru Baleanu (Fifth Researcher), Hossein Jafari (Fourth Researcher), Yaqub Azari (Third Researcher), Hamid Safdari (Second Researcher), Yones Esmaeelzade Aghdam (First Researcher)
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