An Alternative Finite Difference Stability Analysis for a Multiterm Time-Fractional Initial-Boundary Value Problem

DOI10.4208/eajam.010120.090320zbMath1468.65098OpenAlexW3035072473MaRDI QIDQ4986607

Martin Stynes, Xiao Hui Liu

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.010120.090320

zbMATH Keywords

graded meshdiscrete stability\(L1\) schememultiterm time-fractional initial-boundary value problem

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)

Related Items (5)

A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations ⋮ A Support Vector Machine Method for Two Time-Scale Variable-Order Time-Fractional Diffusion Equations ⋮ A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations ⋮ Local analysis of L1-finite difference method on graded meshes for multi-term two-dimensional time-fractional initial-boundary value problem with Neumann boundary conditions ⋮ Two-grid fully discrete finite element algorithms on temporal graded meshes for nonlinear multi-term time-fractional diffusion equations with variable coefficient

Cites Work

• Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
• Collocation methods for general Caputo two-point boundary value problems
• Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
• Error analysis of a finite difference method on graded meshes for a multiterm time-fractional initial-boundary value problem
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions

This page was built for publication: An Alternative Finite Difference Stability Analysis for a Multiterm Time-Fractional Initial-Boundary Value Problem