Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials

Jinsheng Wang; Liqing Liu; Yiming Chen; Lechun Liu; Dayan Liu

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Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials

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The aim of this paper is to seek the numerical solution of a class of variable order fractional integral-differential equation in terms of Bernstein polynomials.The fractional derivative is described in the Caputo sense.Four kinds of operational matrixes of Bernstein polynomials are introduced and are utilized to reduce the initial equation to the solution of algebraic equations after dispersing the variable.By solving the algebraic equations,the numerical solutions are acquired.The method in general is easy to implement and yields good results.Numerical examples are provided to demonstrate the validity and applicability of the method.

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《工程与科学中的计算机建模（英文）》 |2015年第1期|P.69-85|共17页
作者
Jinsheng Wang; Liqing Liu; Yiming Chen; Lechun Liu; Dayan Liu;
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作者单位

School of Continuing Education Yanshan University Qinhuangdao 066004 Hebei China;

College of Science Yanshan University Qinhuangdao 066004 Hebei China;

College of Science Yanshan University Qinhuangdao 066004 Hebei China;

College of Science Yanshan University Qinhuangdao 066004 Hebei China;

INSA Centre Val de Loire Universitéd’Orléans PRISME EA 4229 Bourges 18022 France;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Bernstein polynomials; variable order fractional integral-differentialequation; operational matrix; numerical solution; convergence analysis; the absolute error;

机译：伯恩斯坦多项式;可变阶数分数积分差异;操作矩阵;数值解决方案;收敛分析;绝对误差;

Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials

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