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首页> 外文期刊>Mediterranean journal of mathematics >Operational Matrix of Fractional Integration Based on the Shifted Second Kind Chebyshev Polynomials for Solving Fractional Differential Equations
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Operational Matrix of Fractional Integration Based on the Shifted Second Kind Chebyshev Polynomials for Solving Fractional Differential Equations

机译：基于移位第二类Chebyshev多项式的分数阶积分运算矩阵求解分数阶微分方程。

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摘要

This paper is devoted to studying a computational method for solving multi-term differential equations based on new operational matrix of shifted second kind Chebyshev polynomials. The properties of the operational matrix of fractional integration are exploited to reduce the main problem to an algebraic equation. We present an upper bound for the error in our estimation that leads to achieve the convergence rate of O(M (-kappa) ). Numerical experiments are reported to demonstrate the applicability and efficiency of the proposed method.
机译：本文致力于研究一种基于移位的第二类切比雪夫多项式的新运算矩阵的求解多元微分方程的计算方法。利用分数积分运算矩阵的性质将主要问题简化为代数方程。我们在估计中给出误差的上限，该上限导致达到O（M（-kappa））的收敛速度。数值实验报道证明了该方法的适用性和有效性。

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