A linearized second-order finite difference scheme for time fractional generalized BBM equation

DOI10.1016/j.aml.2017.10.011zbMath1385.65051OpenAlexW2767649985MaRDI QIDQ1693625

Pin Lyu, Seak Weng Vong

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.10.011

zbMATH Keywords

second-order convergencegeneralized Benjamin-Bona-Mahony equationunconditionally stablefractional order derivative in timelinearized finite difference scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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 (6)

A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations ⋮ A nonuniform L2 formula of Caputo derivative and its application to a fractional Benjamin–Bona–Mahony‐type equation with nonsmooth solutions ⋮ A high-order linearized and compact difference method for the time-fractional Benjamin-Bona-Mahony equation ⋮ Blowing-up solutions of the time-fractional dispersive equations ⋮ A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation ⋮ A high-order method with a temporal nonuniform mesh for a time-fractional Benjamin-Bona-Mahony equation

Cites Work

• A new difference scheme for the time fractional diffusion equation
• Solving the fractional BBM-Burgers equation using the homotopy analysis method
• Compact finite difference method for the fractional diffusion equation
• Strong attractors for the Benjamin-Bona-Mahony equation
• Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation
• Attractors for the generalized Benjamin-Bona-Mahony equation
• Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
• A weighted ADI scheme for subdiffusion equations
• A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
• Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
• Model equations for long waves in nonlinear dispersive systems

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