Piecewise Polynomial Collocation Methods for Fractional Differential Equations

被引：0

作者：

Pedas, Arvet ^{[1
]}

Tamme, Enn ^{[1
]}

机构：

[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

Fractional differential equation; Caputo derivative; Volterra integral equation; spline collocation method; graded grid; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The numerical solution of initial value problems for linear fractional differential equations is considered. The derivatives of the given functions may be unbounded at the initial point of the interval of integration. Using an integral equation reformulation and special graded grids, global convergence estimates are derived and a collection of numerical results is given.

引用

页码：1203 / 1206

页数：4

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