Temporal Second-Order Fast Finite Difference/Compact Difference Schemes for Time-Fractional Generalized Burgers’ Equations
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Publication:6493953
DOI10.1007/S10915-024-02514-4MaRDI QIDQ6493953
Xiangyi Peng, Wenlin Qiu, Mahmoud A. Zaky, Ahmed S. Hendy
Publication date: 29 April 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Miscellaneous topics in partial differential equations (35Rxx)
Cites Work
- A new difference scheme for the time fractional diffusion equation
- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Mach reflection for the two-dimensional Burgers equation
- Numerical simulations of 2D fractional subdiffusion problems
- An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations
- Study on the dynamics of a nonlinear dispersion model in both 1D and 2D based on the fourth-order compact conservative difference scheme
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- The study of exact and numerical solutions of the generalized viscous Burgers' equation
- A second-order fast compact scheme with unequal time-steps for subdiffusion problems
- A linear finite difference scheme for generalized time fractional Burgers equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
- Generating exact solutions of the two-dimensional Burgers' equations
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- Finite difference discretization of the cubic Schrödinger equation
- A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Shock Layer Movement for Burgers’ equation
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion 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
- Burgers equation with a fractional derivative; hereditary effects on nonlinear acoustic waves
- The partial differential equation ut + uux = μxx
- The pointwise estimates of a conservative difference scheme for Burgers' equation
- On the \(L^{\infty}\) convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation
- Efficient third-order BDF finite difference scheme for the generalized viscous Burgers' equation
- Pointwise error estimates of compact difference scheme for mixed-type time-fractional Burgers' equation
- A high‐order and fast scheme with variable time steps for the time‐fractional Black‐Scholes equation
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