NUMERICAL SOLUTION OF THE CONFORMABLE FRACTIONAL DIFFUSION EQUATION

被引：0
|
作者：
Yaslan, H. Cerdik [1 ]
机构：
[1] Pamukkale Univ, Dept Math, Denizli, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2022年 / 23卷 / 02期
关键词：
Space-time fractional diffusion equation; Shifted Chebyshev polynomials of the second kind; Conformable fractional derivative; Finite difference method; PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATIONS;
D O I：
10.18514/MMN.2022.3669
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. 2010 Mathematics Subject Classification: 35K57; 26A33; 65M06; 65M70
引用
收藏
页码：975 / 986
页数：12
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