An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation
DOI10.1016/J.APNUM.2020.07.017zbMath1446.65084OpenAlexW3044627545WikidataQ112880246 ScholiaQ112880246MaRDI QIDQ2192649
Yuan Liu, Xuehua Yang, Hai-xiang Zhang, Yan-Ling Liu
Publication date: 17 August 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.07.017
convergencefinite difference methodfractional reaction-diffusion equationextrapolated methodOSC method
Numerical computation using splines (65D07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Collocation methods for impulsive differential equations
- A high-order numerical method for solving the 2D fourth-order reaction-diffusion equation
- An \(h-p\) version of the continuous Petrov-Galerkin finite element method for nonlinear Volterra integro-differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems
- On the convergence of an extrapolation cascadic multigrid method for elliptic problems
- On the extrapolation of Galerkin methods for parabolic problems
- Spectral collocation methods for Volterra-integro differential equations with noncompact kernels
- BDF ADI orthogonal spline collocation scheme for the fractional integro-differential equation with two weakly singular kernels
- Regularity theory for time-fractional advection-diffusion-reaction equations
- A spline collocation method for a fractional mobile-immobile equation with variable coefficients
- Well-posedness of time-fractional advection-diffusion-reaction equations
- The finite volume scheme preserving maximum principle for two-dimensional time-fractional Fokker-Planck equations on distorted meshes
- An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
- A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
- A Legendre-Gauss-Radau spectral collocation method for first order nonlinear delay differential equations
- Integral-Algebraic Equations: Theory of Collocation Methods I
- Supergeometric Convergence of Spectral Collocation Methods for Weakly Singular Volterra and Fredholm Integral Equations with Smooth Solutions
- An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
- An implicit finite-difference time-stepping method for a sub-diffusion equation, with spatial discretization by finite elements
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- A backward euler orthogonal spline collocation method for the time-fractional Fokker-Planck equation
- Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
- Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables
- Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
- Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems
- An $L1$ Approximation for a Fractional Reaction-Diffusion Equation, a Second-Order Error Analysis over Time-Graded Meshes
- High‐order ADI orthogonal spline collocation method for a new 2D fractional integro‐differential problem
- A class of second order difference approximations for solving space fractional diffusion equations
This page was built for publication: An extrapolated CN-WSGD OSC method for a nonlinear time fractional reaction-diffusion equation
