解分数阶fredholm -积分微分方程的归一化Bernstein基

Abdul Khaleq O. Al-Jubory, S. H. Salih
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引用次数: 1

摘要

本文采用一种新的归一化Bernstein基来求解第二类非齐次分数阶积分微分方程的线性frereadholm问题。我们采用Petrov-Galerkian方法(PGM)通过归一化Bernstein基近似解(LFFIDEs),得到线性系统。文中给出了算例,并以表格和图表的形式说明了该方法的有效性和便捷性,克服了传统方法的不足。我们借助Matlab10解决了这个问题(LFFIDEs)。
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Normalization Bernstein Basis For Solving Fractional Fredholm-Integro Differential Equation
In this work, we employ a new normalization Bernstein basis for solving linear Freadholm of fractional integro-differential equations nonhomogeneous of the second type (LFFIDEs). We adopt Petrov-Galerkian method (PGM) to approximate solution of the (LFFIDEs) via normalization Bernstein basis that yields linear system. Some examples are given and their results are shown in tables and figures, the Petrov-Galerkian method (PGM) is very effective and convenient and overcome the difficulty of traditional methods. We solve this problem (LFFIDEs) by the assistance of Matlab10.
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