A linearly semi-implicit compact scheme for the Burgers–Huxley equation
DOI10.1080/00207161003743391zbMath1213.65122OpenAlexW2077793067MaRDI QIDQ2995478
Xiao-liang Cheng, Shenggao Zhou
Publication date: 21 April 2011
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207161003743391
stabilityconvergencenumerical experimentsoperator splittingBurgers-Huxley equationsemi-implicit Runge-Kutta methodlinearly semi-implicit compact scheme
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items
Cites Work
- Unnamed Item
- Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
- Semi-implicit operator splitting Padé method for higher-order nonlinear Schrödinger equations
- Adaptive decomposition finite difference methods for solving singular problems -- a review
- Operator splitting methods for generalized Korteweg-de Vries equations
- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- Traveling wave solutions for nonlinear equations using symbolic computation
- Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
- Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
- Symplectic integrators from composite operator factorizations
- Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
- Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations
- Fourth-order exponential finite difference methods for boundary value problems of convective diffusion type
- Exact solutions of the Burgers-Huxley equation
- Splitting methods
- Solitary wave solutions of the generalised Burgers-Huxley equation
- Higher-order operator splitting methods for deterministic parabolic equations
- Solving Linear Partial Differential Equations by Exponential Splitting
- Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
- Global error estimates for exponential splitting
- Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes
- On the Construction and Comparison of Difference Schemes
- Numerical solutions of the Burgers–Huxley equation by the IDQ method