A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity
出版年份 2021 全文链接
标题
A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity
作者
关键词
Nonlinear fractional diffusion equation, Initial singularity, Graded mesh, Unique solvability, Stability, Convergence
出版物
APPLIED NUMERICAL MATHEMATICS
Volume 169, Issue -, Pages 32-43
出版商
Elsevier BV
发表日期
2021-07-01
DOI
10.1016/j.apnum.2021.06.013
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。- Efficient methods for nonlinear time fractional diffusion-wave equations and their fast implementations
- (2020) Jianfei Huang et al. NUMERICAL ALGORITHMS
- Well-posedness of stochastic modified Kawahara equation
- (2020) P. Agarwal et al. Advances in Difference Equations
- Solutions of system of Volterra integro‐differential equations using optimal homotopy asymptotic method
- (2020) Praveen Agarwal et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations
- (2020) Praveen Agarwal et al. Advances in Difference Equations
- Numerical Approximation of Bounds of �-Values for a Family of Pascal Matrices
- (2019) Mutti-Ur Rehman et al. Applied Mathematics & Information Sciences
- High accuracy error estimates of a Galerkin finite element method for nonlinear time fractional diffusion equation
- (2019) Jincheng Ren et al. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- A numerical method for distributed order time fractional diffusion equation with weakly singular solutions
- (2019) Jincheng Ren et al. APPLIED MATHEMATICS LETTERS
- Space-time finite element method for the distributed-order time fractional reaction diffusion equations
- (2019) Weiping Bu et al. APPLIED NUMERICAL MATHEMATICS
- Optimal spatial H1-norm analysis of a finite element method for a time-fractional diffusion equation
- (2019) Chaobao Huang et al. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
- A nonlocal problem with integral gluing condition for a third‐order loaded equation with parabolic‐hyperbolic operator involving fractional derivatives
- (2019) Praveen Agarwal et al. MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Unconditionally Optimal Error Estimates of a Linearized Galerkin Method for Nonlinear Time Fractional Reaction–Subdiffusion Equations
- (2018) Dongfang Li et al. JOURNAL OF SCIENTIFIC COMPUTING
- An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions
- (2018) Weiping Bu et al. NUMERICAL ALGORITHMS
- Numerical Analysis of Nonlinear Subdiffusion Equations
- (2018) Bangti Jin et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- (2018) Hong-lin Liao et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations
- (2018) Jianfei Huang et al. JOURNAL OF COMPUTATIONAL MATHEMATICS
- Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem
- (2018) Hu Chen et al. JOURNAL OF SCIENTIFIC COMPUTING
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- (2017) Martin Stynes et al. SIAM JOURNAL ON NUMERICAL ANALYSIS
- Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
- (2016) Dongfang Li et al. JOURNAL OF COMPUTATIONAL PHYSICS
- A new difference scheme for the time fractional diffusion equation
- (2015) Anatoly A. Alikhanov JOURNAL OF COMPUTATIONAL PHYSICS
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- (2011) Kenichi Sakamoto et al. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Add your recorded webinar
Do you already have a recorded webinar? Grow your audience and get more views by easily listing your recording on Peeref.
Upload NowBecome a Peeref-certified reviewer
The Peeref Institute provides free reviewer training that teaches the core competencies of the academic peer review process.
Get Started