An implicit nonlinear difference scheme for two-dimensional time-fractional Burgers' equation with time delay
DOI10.1007/s12190-023-01863-xzbMath1522.65158OpenAlexW4366425589MaRDI QIDQ6046861
Zhibo Wang, Mingcong Xiao, Yan Mo
Publication date: 6 October 2023
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-023-01863-x
time-delaystability and convergenceimplicit difference schemetwo-dimensional time-fractional Burgers' equation
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)
Cites Work
- Unnamed Item
- Derivation of the Burgers' equation from the gas dynamics
- On the solutions of the time-delayed Burgers equation
- Lie symmetry analysis and exact explicit solutions for general Burgers' equation
- Asymptotic behavior of solutions of time-delayed Burgers' equation
- Fourier spectral approximation for time fractional Burgers equation with nonsmooth solutions
- An implicit semi-linear discretization of a bi-fractional Klein-Gordon-Zakharov system which conserves the total energy
- Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity
- Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations
- A compact difference scheme on graded meshes for the nonlinear fractional integro-differential equation with non-smooth solutions
- A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- A linear finite difference scheme for generalized time fractional Burgers equation
- Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms
- Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay
- Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
- Numerical simulation for time-fractional diffusion-wave equations with time delay
- WO-GRID METHOD FOR BURGERS’ EQUATION BY A NEW MIXED FINITE ELEMENT SCHEME
- Numerical simulation for the two-dimensional and three-dimensional Riesz space fractional diffusion equations with delay and a nonlinear reaction term
- On two linearized difference schemes for Burgers’ equation
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics