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Azizi, H., Loghmani, B.. (1391). Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials. , 37(1), 23-28. doi: 10.22099/ijsts.2013.1531
H. Azizi; B. Loghmani. "Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials". , 37, 1, 1391, 23-28. doi: 10.22099/ijsts.2013.1531
Azizi, H., Loghmani, B.. (1391). 'Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials', , 37(1), pp. 23-28. doi: 10.22099/ijsts.2013.1531
Azizi, H., Loghmani, B.. Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials. , 1391; 37(1): 23-28. doi: 10.22099/ijsts.2013.1531

Solution of time fractional diffusion equations using a semi-discrete scheme and collocation method based on Chebyshev polynomials

Iranian Journal of Science
مقاله 3، دوره 37، شماره 1، خرداد 2013، صفحه 23-28    اصل مقاله (98.07 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2013.1531
نویسندگان
H. Azizi؛ B. Loghmani*
Department of Mathematics, Yazd University, Yazd, Iran
چکیده
In this paper, a new numerical method for solving time-fractional diffusion equations is introduced. For this
purpose, finite difference scheme for discretization in time and Chebyshev collocation method is applied. Also, to
simplify application of the method, the matrix form of the suggested method is obtained. Illustrative examples
show that the proposed method is very efficient and accurate.
کلیدواژه‌ها
Time fractional diffusion equation؛ finite difference؛ collocation؛ Chebyshev polynomials
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