A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

DOI10.4208/aamm.OA-2019-0064zbMath1488.45039WikidataQ114021271 ScholiaQ114021271MaRDI QIDQ5156994

Da Xu, Jing Guo

Publication date: 12 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceweakly singular kernelcompact difference schemetime-fractional partial integro-differential equation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33)

Related Items (3)

High-order orthogonal spline collocation ADI scheme for a new complex two-dimensional distributed-order fractional integro-differential equation with two weakly singular kernels ⋮ Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮ The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions

Cites Work

• Unnamed Item
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• A linearized compact difference scheme for a class of nonlinear delay partial differential equations
• Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term
• A finite difference scheme for partial integro-differential equations with a weakly singular kernel
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Compact alternating direction implicit scheme for integro-differential equations of parabolic type
• Detailed error analysis for a fractional Adams method
• A compact difference scheme for a partial integro-differential equation with a weakly singular kernel
• Second-order difference approximations for Volterra equations with the completely monotonic kernels
• Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
• A general theory of heat conduction with finite wave speeds
• Error Analysis of a High Order Method for Time-Fractional Diffusion Equations
• Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel
• Applications of Fractional Calculus to the Theory of Viscoelasticity
• A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
• Stability of viscoelastic control systems
• A Numerical Method for a Partial Integro-Differential Equation
• Numerical solution of an evolution equation with a positive-type memory term
• Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel
• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
• A second-order BDF compact difference scheme for fractional-order Volterra equation

This page was built for publication: A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel