The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

Zhou Fengying; Xu Xiaoyong

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The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

机译：求解可变系数时间分数对流扩散方程的第三类切比雪夫小波配置方法

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In this paper, a numerical method based on the third kind Chebyshev wavelets is proposed for solving a class of time-fractional convection diffusion equations with variable coefficients. The third kind Chebyshev wavelets operational matrices of the integer order integration and the fractional order integration are derived respectively. They are utilized to reduce the problem to a system of linear algebraic equations by combining the collocation method. The uniform convergence analysis and error estimation for the third kind Chebyshev wavelets expansion are investigated. Illustrative examples are given and the numerical results are presented to demonstrate the efficiency and accuracy of the proposed method. (C) 2016 Elsevier Inc. All rights reserved.

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《Applied mathematics and computation》 |2016年第null期|共19页
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Zhou Fengying; Xu Xiaoyong;
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The third kind Chebyshev wavelets; Time-fractionalconvection diffusion equations; Operational matrix of fractional order integration; Block pulse functions; Collocation method;

机译：第三类Chebyshev小波;时间分数对流扩散方程;分数阶积分运算矩阵;块脉冲函数;定位法;

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1. The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients [J] . Zhou Fengying, Xu Xiaoyong Applied mathematics and computation . 2016,第Null期

机译：求解可变系数时间分数对流扩散方程的第三类切比雪夫小波配置方法
2. An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations [J] . Yi Mingxu, Ma Yunpeng, Wang Lifeng International journal of computer mathematics . 2018,第9a12期

机译：基于第二类切比雪夫小波的有效方法，求解变量阶对流扩散方程
3. Mixed Generalized Jacobi and Chebyshev Collocation Method for Time-Fractional Convection-Diffusion Equations [J] . Tao SUN 数学研究及应用：英文版 . 2016,第005期

机译：分数阶对流扩散方程的混合广义雅可比和切比雪夫混合配置方法
4. A Class Of Parallel Difference Method for Solving Convection-Diffusion Equation With Variable Coefficient [C] . Qinghua Feng WSEAS International Conference on Applied Computer and Applied Computational Science . 2009

机译：一种求解变量系数的对流扩散方程的一类并行差分方法
5. On the implementation of an accurate and efficient solver for convection-diffusion equations. [D] . Wu, Chin-Tien. 2003

机译：关于对流扩散方程的精确有效求解器的实现。
6. Numerical solutions and error estimations for the space fractional diffusion equation with variable coefficients via Fibonacci collocation method [O] . Ayşe Kurt Bahşı, Salih Yalçınbaş -1

机译：斐波那契配点法求解变系数空间分式扩散方程的数值解和误差估计。
7. Unique solvability of the CCD scheme for convection–diffusion equations with variable convection coefficients [O] . Qinghe Wang, Kejia Pan, Hongling Hu 2018

机译：具有可变对流系数的对流扩散方程的CCD方案的独特可解

The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

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