Fourier spectral approximation for generalized time fractional Burgers equation

DOI10.1007/s12190-021-01686-8zbMath1504.35614OpenAlexW4205954819MaRDI QIDQ2103115

Li Chen, Shujuan Lü

Publication date: 13 December 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01686-8

zbMATH Keywords

convergenceboundednessFourier spectral methodgeneralized time fractional Burgers equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Cites Work

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• A new difference scheme for the time fractional diffusion equation
• A second order finite difference-spectral method for space fractional diffusion equations
• A compact finite difference scheme for the fractional sub-diffusion equations
• Finite element approximation for a modified anomalous subdiffusion equation
• Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
• Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
• Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
• Analysis of a numerical method for the solution of time fractional Burgers equation
• An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations
• Spectral methods for the time fractional diffusion-wave equation in a semi-infinite channel
• Numerical approximation of time-fractional Burgers-type equation
• A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions
• A linear finite difference scheme for generalized time fractional Burgers equation
• Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
• Numerical solutions and analysis of diffusion for new generalized fractional Burgers equation
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Efficient numerical schemes for the solution of generalized time fractional Burgers type equations
• A fully discrete difference scheme for a diffusion-wave system
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
• A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
• Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
• Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves

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