A graded scheme with bounded grading for a time-fractional Boussinesq type equation

DOI10.1016/J.AML.2019.01.003zbMath1414.65009OpenAlexW2909887880MaRDI QIDQ1739399

Pin Lyu, Seak Weng Vong

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.003

zbMATH Keywords

Caputo derivativehigh-order methodnonuniform meshtime-fractional nonlinear equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Fractional partial differential equations (35R11)

Related Items (1)

Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels

Cites Work

• Unnamed Item
• Unnamed Item
• Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves
• A second-order accurate numerical method for a fractional wave equation
• A fitted scheme for a Caputo initial-boundary value problem
• Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
• Preprocessing schemes for fractional-derivative problems to improve their convergence rates
• An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
• Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
• Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
• Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
• A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
• Analysis of fractional differential equations

This page was built for publication: A graded scheme with bounded grading for a time-fractional Boussinesq type equation