An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution
出版年份 2017 全文链接
标题
An Improved Algorithm Based on Finite Difference Schemes for Fractional Boundary Value Problems with Nonsmooth Solution
作者
关键词
The Riesz fractional derivatives, Extrapolation technique, Stability, Weak singularity, Convergence rate, 26A33, 65M06, 65M12, 65M55, 65T50
出版物
JOURNAL OF SCIENTIFIC COMPUTING
Volume 73, Issue 1, Pages 395-415
出版商
Springer Nature
发表日期
2017-03-20
DOI
10.1007/s10915-017-0417-8
参考文献
相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。- Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem
- (2016) Natalia Kopteva et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations
- (2016) Zhiping Mao et al. APPLIED NUMERICAL MATHEMATICS
- A linearized high-order difference scheme for the fractional Ginzburg-Landau equation
- (2016) Zhao-peng Hao et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
- (2016) Wanrong Cao et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Too much regularity may force too much uniqueness
- (2016) Martin Stynes Fractional Calculus and Applied Analysis
- High order finite difference methods on non-uniform meshes for space fractional operators
- (2015) Lijing Zhao et al. ADVANCES IN COMPUTATIONAL MATHEMATICS
- A Finite Element Method with Singularity Reconstruction for Fractional Boundary Value Problems
- (2015) Bangti Jin et al. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
- A fourth-order approximation of fractional derivatives with its applications
- (2015) Zhao-peng Hao et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A class of second order difference approximations for solving space fractional diffusion equations
- (2015) WenYi Tian et al. MATHEMATICS OF COMPUTATION
- Variational formulation of problems involving fractional order differential operators
- (2015) Bangti Jin et al. MATHEMATICS OF COMPUTATION
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- (2015) Fanhai Zeng et al. SIAM JOURNAL ON SCIENTIFIC COMPUTING
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- (2014) Ya-nan Zhang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Anomalous transport in the crowded world of biological cells
- (2013) Felix Höfling et al. REPORTS ON PROGRESS IN PHYSICS
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- (2012) Santos B. Yuste et al. COMPUTER PHYSICS COMMUNICATIONS
- A second order explicit finite difference method for the fractional advection diffusion equation
- (2012) Ercília Sousa COMPUTERS & MATHEMATICS WITH APPLICATIONS
- A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
- (2012) Hong Wang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Multigrid method for fractional diffusion equations
- (2011) Hong-Kui Pang et al. JOURNAL OF COMPUTATIONAL PHYSICS
- Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- (2011) Cem Çelik et al. JOURNAL OF COMPUTATIONAL PHYSICS
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