Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay
DOI10.1016/j.amc.2018.04.057zbMath1427.65170OpenAlexW2807117203MaRDI QIDQ2335645
Publication date: 15 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.04.057
stabilityconvergencefractional Gronwall type inequalitylinearized numerical schemenonlinear time fractional reaction-diffusion equations with delay
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Partial functional-differential equations (35R10) 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)
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Cites Work
- Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
- On a class of non-linear delay distributed order fractional diffusion equations
- A stable numerical method for multidimensional time fractional Schrödinger equations
- Split Newton iterative algorithm and its application
- A compact finite difference scheme for the fractional sub-diffusion equations
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- A finite difference method for an anomalous sub-diffusion equation, theory and applications
- A sliding mode control for linear fractional systems with input and state delays
- Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
- A generalized Gronwall inequality and its application to a fractional differential equation
- Theory of fractional functional differential equations
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model
- Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion
- A linear finite difference scheme for generalized time fractional Burgers equation
- Time-stepping discontinuous Galerkin methods for fractional diffusion problems
- A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation
- A high order schema for the numerical solution of the fractional ordinary differential equations
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Gronwall inequality for a general Caputo fractional operator
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- High-Order Approximation to Caputo Derivatives and Caputo-type Advection–Diffusion Equations: Revisited
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