Numerical Algorithm to Solve a Class of Variable Order Fractional Integral-Differential Equation Based on Chebyshev Polynomials

Sun Kangwen; Zhu Ming

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Numerical Algorithm to Solve a Class of Variable Order Fractional Integral-Differential Equation Based on Chebyshev Polynomials

机译：Chebyshev多项式求解一类分数阶分数阶积分微分方程的数值算法

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The purpose of this paper is to study the Chebyshev polynomials for the solution of a class of variable order fractional integral-differential equation. The properties of Chebyshev polynomials together with the four kinds of operational matrixes of Chebyshev polynomials are used to reduce the problem to the solution of a system of algebraic equations. By solving the algebraic equations, the numerical solutions are acquired. Further some numerical examples are shown to illustrate the accuracy and reliability of the proposed approach and the results have been compared with the exact solution.

机译：本文的目的是研究Chebyshev多项式，以解决一类分数阶分数阶积分-微分方程。 Chebyshev多项式的性质与Chebyshev多项式的四种运算矩阵一起用于将问题简化为代数方程组的解。通过求解代数方程，获得了数值解。还显示了一些数值示例，以说明所提出方法的准确性和可靠性，并将结果与精确解决方案进行了比较。

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《Mathematical Problems in Engineering》 |2015年第18期|902161.1-902161.10|共10页
作者
Sun Kangwen; Zhu Ming;
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Beihang Univ, Sch Aeronaut Sci & Technol, Beijing 100191, Peoples R China.;

Beihang Univ, Sch Aeronaut Sci & Technol, Beijing 100191, Peoples R China.;

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机译：Chebyshev多项式求解一类分数阶分数阶积分微分方程的数值算法
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3. Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials [J] . Jinsheng Wang, Liqing Liu, Yiming Chen, 工程与科学中的计算机建模(英文) . 2015,第001期

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Numerical Algorithm to Solve a Class of Variable Order Fractional Integral-Differential Equation Based on Chebyshev Polynomials

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