Recovering a source term in the time-fractional Burgers equation by an energy boundary functional equation

DOI10.1016/j.aml.2017.12.010zbMath1466.65106OpenAlexW2775763374MaRDI QIDQ1996393

Chein-Shan Liu, Jiang-Ren Chang

Publication date: 4 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2017.12.010

zbMATH Keywords

iterative methodtime-fractional Burgers equationenergy boundary functionsenergy functional equationspace and time dependent source

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (7)

On high order numerical schemes for fractional differential equations by block-by-block approach ⋮ Identifying space-time dependent force on the vibrating Euler-Bernoulli beam by a boundary functional method ⋮ A computational procedure and analysis for multi‐term time‐fractional Burgers‐type equation ⋮ Application of the B-Spline Galerkin approach for approximating the time-fractional Burger's equation ⋮ Artificial boundary conditions for nonlinear time fractional Burgers' equation on unbounded domains ⋮ An energetic boundary functional method for solving the inverse source problems of 2D nonlinear elliptic equations ⋮ Exact solutions and numerical study of time fractional Burgers' equations

Cites Work

• A linear finite difference scheme for generalized time fractional Burgers equation
• An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
• A new dissipation model based on memory mechanism

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