Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
type: Item
instance of: scholarly article
title: Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space
author: Sadia Arshad
author: Mubashara Wali
author: Jianfei Huang
author: Sadia Khalid
author: Nosheen Akbar
published in: Journal of Applied Mathematics and Computing
publication date: 2022-10-06T00:00:00Z
Mathematics Subject Classification ID: 65-XX
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7597400
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: finite difference method
zbMATH Keywords: fractional trapezoid formula
zbMATH Keywords: Stephenson's scheme
zbMATH Keywords: convergence analysis
zbMATH Keywords: stability analysis
MaRDI profile type: Publication
full work available at URL: s12190-021-01635-5
OpenAlex ID: W3212439361
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients
cites work: A fourth-order scheme for space fractional diffusion equations
cites work: Numerical analysis and fast implementation of a fourth-order difference scheme for two-dimensional space-fractional diffusion equations
cites work: Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations
cites work: Regularity of global attractor for the fourth-order reaction-diffusion equation
cites work: Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation
cites work: Orthogonal spline collocation method for the fourth-order diffusion system
cites work: A new approximation to Caputo-type fractional diffusion and advection equations on non-uniform meshes
cites work: A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
cites work: New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
cites work: An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
cites work: Approximation methods for solving fractional equations
cites work: A compact finite difference scheme for the fourth-order fractional diffusion-wave system
cites work: Q4438485
cites work: Solving a fourth-order fractional diffusion-wave equation in a bounded domain by decomposition method
cites work: Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
cites work: A mixed finite element method for a time-fractional fourth-order partial differential equation
cites work: Numerical solution of time-fractional fourth-order partial differential equations
cites work: Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
cites work: A compact finite difference scheme for the fractional sub-diffusion equations
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
cites work: A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
cites work: A new difference scheme for the time fractional diffusion equation
cites work: Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
cites work: High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions
cites work: A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
cites work: A high-order compact finite difference scheme for the fractional sub-diffusion equation
cites work: A unified difference-spectral method for time–space fractional diffusion equations
cites work: Weakly Singular Discrete Gronwall Inequalities
cites work: Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations
cites work: Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition
cites work: A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
cites work: Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
cites work: Q4855462
cites work: Matrix Analysis
DOI: 10.1007/S12190-021-01635-5
description: scientific article; zbMATH DE number 7597400