A New Finite Element Analysis for Inhomogeneous Boundary-Value Problems of Space Fractional Differential Equations

被引：0

作者：

Jingtang Ma

机构：

[1] Southwestern University of Finance and Economics,School of Economic Mathematics

来源：

Journal of Scientific Computing | 2017年 / 70卷

关键词：

Fractional differential equations; Galerkin methods; Finite element methods; Convergence analysis; 35S15; 65N30; 65N12; 65N15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper the framework and convergence analysis of finite element methods (FEMs) for space fractional differential equations (FDEs) with inhomogeneous boundary conditions are studied. Since the traditional framework of Gakerkin methods for space FDEs with homogeneous boundary conditions is not true any more for the case of inhomogeneous boundary conditions, this paper develops a technique by introducing a new fractional derivative space in which the Galerkin method works and proves the convergence rates of the FEMs.

引用

页码：342 / 354

页数：12

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