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The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients - MaRDI portal

The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients (Q6177265)

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scientific article; zbMATH DE number 7732702

Language	Label	Description	Also known as
English	The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients	scientific article; zbMATH DE number 7732702

Statements

scholarly article

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The non-uniform L1-type scheme coupling the finite volume method for the time-space fractional diffusion equation with variable coefficients (English)

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Journal of Computational and Applied Mathematics

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publication date

31 August 2023

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zbMATH Keywords

time-space fractional diffusion equation

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variable diffusion coefficients

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finite volume method

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non-uniform L1-type schemes

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cam.2023.115179

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The role of fractional calculus in modeling biological phenomena: a review

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Fractional Partial Differential Equations and Their Numerical Solutions

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Finite difference/spectral approximations for the time-fractional diffusion equation

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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A new difference scheme for the time fractional diffusion equation

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A high-order L2 type difference scheme for the time-fractional diffusion equation

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Energy stable L2 schemes for time-fractional phase-field equations

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REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION

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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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An approach to construct higher order time discretisation schemes for time fractional partial differential equations with nonsmooth data

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An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

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Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem

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High-order central difference scheme for Caputo fractional derivative

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme

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Finite difference approximations for two-sided space-fractional partial differential equations

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An efficient second-order convergent scheme for one-side space fractional diffusion equations with variable coefficients

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A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation

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Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations

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A new fractional finite volume method for solving the fractional diffusion equation

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Stability and convergence of a new finite volume method for a two-sided space-fractional diffusion equation

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A Eulerian–Lagrangian control volume method for solute transport with anomalous diffusion

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A Galerkin finite element method for a class of time-space fractional differential equation with nonsmooth data

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An efficient finite element method for the two-dimensional nonlinear time-space fractional Schrödinger equation on an irregular convex domain

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Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation

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Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains

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Respectively scaled HSS iteration methods for solving discretized spatial fractional diffusion equations

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The Crank-Nicolson-type sinc-Galerkin method for the fourth-order partial integro-differential equation with a weakly singular kernel

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Radial basis functions method for solving the fractional diffusion equations

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Solution of the Liouville–Caputo time- and Riesz space-fractional Fokker–Planck equation via radial basis functions

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Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes

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Analytical study for time and time-space fractional Burgers' equation

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A finite element method for the multiterm time-space Riesz fractional advection-diffusion equations in finite domain

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Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation

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High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives

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Finite difference scheme for time‐space fractional diffusion equation with fractional boundary conditions

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Solving Time-Space-Fractional Cauchy Problem with Constant Coefficients by Finite-Difference Method

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A high-order numerical algorithm for two-dimensional time-space tempered fractional diffusion-wave equation

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Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients

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A finite volume method for the two-dimensional time and space variable-order fractional Bloch-Torrey equation with variable coefficients on irregular domains

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A Splitting Preconditioner for Toeplitz-Like Linear Systems Arising from Fractional Diffusion Equations

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A fast solver for multidimensional time-space fractional diffusion equation with variable coefficients

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Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain

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Identifiers

10.1016/j.cam.2023.115179

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6177265

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