适形分数扩散方程的数值解

IF 0.9 4区 数学 Q1 Mathematics
H. Yaslan
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引用次数: 0

摘要

本文提出了一种求解变系数空时分数阶扩散方程的数值方法。分数阶导数是在符合意义上描述的。数值方法是基于第二类移位切比雪夫多项式。利用切比雪夫多项式的性质,将变系数时空分数扩散方程化为常微分方程组。用有限差分法求解了这个方程组。数值结果验证了该方法的准确性和有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Numerical solution of the conformable fractional diffusion equation
In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense. The numerical approach is based on shifted Chebyshev polynomials of the second kind. The space-time fractional diffusion equation with variable coefficients is reduced to a system of ordinary differential equations by using the properties of Chebyshev polynomials. The finite difference method is applied to solve this system of equations. Numerical results are provided to verify the accuracy and efficiency of the proposed approach.
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来源期刊
Miskolc Mathematical Notes
Miskolc Mathematical Notes Mathematics-Algebra and Number Theory
CiteScore
2.00
自引率
0.00%
发文量
9
期刊介绍: Miskolc Mathematical Notes, HU ISSN 1787-2405 (printed version), HU ISSN 1787-2413 (electronic version), is a peer-reviewed international mathematical journal aiming at the dissemination of results in many fields of pure and applied mathematics.
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