Numerical Solution of Nonlinear Fractional Boundary Value Problems

被引：0
作者：
Pedas, Arvet [1 ]
Tamme, Enn [1 ]
机构：
[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷
关键词：
Nonlinear fractional differential equation; Boundary value problem; Caputo derivative; Piecewise polynomial approximation; Graded grid; PIECEWISE POLYNOMIAL COLLOCATION; EQUATIONS;
D O I：
10.1063/1.4912443
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The numerical solution of boundary value problems for nonlinear fractional differential equations is discussed. Using an integral equation reformulation of the boundary value problem, some regularity properties of the exact solution are derived. Based on these properties and spline collocation techniques, the attainable order of convergence of the proposed algorithms is studied, theoretically and numerically.
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页数：4
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