The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation
From MaRDI portal
Publication:2236858
DOI10.1515/fca-2021-0053zbMath1498.65133arXiv1903.04228OpenAlexW3195287791MaRDI QIDQ2236858
Mani Mehra, Anatoly A. Alikhanov, Murat Kh. Beshtokov
Publication date: 26 October 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04228
stabilityCaputo fractional derivativepseudoparabolic equationcompact finite difference schemesconvergence of difference schemeHallaire equationscheme of Crank-Nicolson
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (5)
Numerical Approximation of the Quenching Time for One-Dimensional p-Laplacian with Singular Boundary Flux ⋮ Difference methods for stochastic space fractional diffusion equation driven by additive space-time white noise via Wong-Zakai approximation ⋮ An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation ⋮ Müntz–Legendre wavelet method for solving Sturm–Liouville fractional optimal control problem with error estimates ⋮ Partially explicit time discretization for time fractional diffusion equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- A new difference scheme for the time fractional diffusion equation
- Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients
- On the numerical solution of a nonlocal boundary value problem for a degenerating pseudoparabolic equation
- On the stability and convergence of nonlocal difference schemes
- Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
- Boundary value problems for degenerating and nondegenerating Sobolev-type equations with a nonlocal source in differential and difference forms
- Compact finite difference method for the fractional diffusion equation
- A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
- Compact finite difference schemes with spectral-like resolution
- Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
- Maximum principles for pseudoparabolic partial differential equations
- Locally one-dimensional difference scheme for a fractional tracer transport equation
- Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
- To boundary-value problems for degenerating pseudoparabolic equations with Gerasimov-Caputo fractional derivative
- Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
- Boundary value problems for a pseudoparabolic equation with the Caputo fractional derivative
- Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients
- A cooling process according to two-temperature theory of heat conduction
- Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving
- A time-fractional diffusion equation with generalized memory kernel in differential and difference settings with smooth solutions
- Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph
- Boundary value problems for the diffusion equation of the variable order in differential and difference settings
- A new difference scheme for time fractional heat equations based on the Crank-Nicholson method
- Finite difference/spectral approximations for the time-fractional diffusion equation
- On a nonlocal boundary value problem with variable coefficients for the heat equation and the Aller equation
- Finite difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation
- A fully discrete difference scheme for a diffusion-wave system
- Pseudoparabolic equations in one space variable
- Integral operators and the first initial boundary value problem for pseudoparabolic equations with analytic coefficients
- Finite-difference methods for solving loaded parabolic equations
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Some temporal second order difference schemes for fractional wave equations
- Locally one-dimensional scheme for a loaded heat equation with Robin boundary conditions
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- Compact difference schemes for heat equation with Neumann boundary conditions
- FOURTH-ORDER COMPACT SCHEME FOR OPTION PRICING UNDER THE MERTON’S AND KOU’S JUMP-DIFFUSION MODELS
- Algorithm 986
- Fractional Differential Equations
- Pseudoparabolic Partial Differential Equations
This page was built for publication: The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation
