A linearly semi-implicit compact scheme for the Burgers–Huxley equation
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Summary
A linearly semi-implicit compact scheme is developed for the Burgers–Huxley equation which possesses good numerical stability with low computational cost and provides the expected convergence order.
- Type
- article
- Published
- 2011-03-01
- Cited by
- 27
- References
- 34
- OpenAlex
- https://openalex.org/W2077793067
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:27039586
Keywords
Burgers' equation, Mathematics, Ode, Discretization, Nonlinear system
References
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- On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime
- An arbitrary order diffusion algorithm for solving Schrödinger equations
- Adaptive decomposition finite difference methods for solving singular problems—A review
- Numerical solutions of the Burgers–Huxley equation by the IDQ method
- Fourth-order algorithms for solving the imaginary-time Gross-Pitaevskii equation in a rotating anisotropic trap.
- Numerical studies on the split-step finite difference method for nonlinear Schrödinger equations
- Traveling wave solutions for nonlinear equations using symbolic computation
- Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes
- On the Construction and Comparison of Difference Schemes
- Solving Linear Partial Differential Equations by Exponential Splitting
- Semi-implicit operator splitting Padé method for higher-order nonlinear Schrödinger equations
- Symplectic integrators from composite operator factorizations
- Analytic study on Burgers, Fisher, Huxley equations and combined forms of these equations
- Exact solutions of the Burgers-Huxley equation
- Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
Cited by
- B‐spline collocation algorithm for numerical solution of the generalized Burger's‐Huxley equation
- A positive and bounded finite element approximation of the generalized Burgers–Huxley equation
- Cubic B-splines collocation method for solving nonlinear parabolic partial differential equations with Neumann boundary conditions
- Numerical solutions of one-dimensional non-linear parabolic equations using Sinc collocation method
- Cubic B‐spline differential quadrature methods and stability for Burgers' equation
- Nonstandard Finite Difference Variational Integrators for Multisymplectic PDEs
- Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation
- Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients
- Strang splitting method for Burgers-Huxley equation
- A numerical scheme for the generalized Burgers–Huxley equation
- Preserving nonnegativity of an affine finite element approximation for a convection-diffusion-reaction problem
- Multi-symplectic variational integrators for nonlinear Schrödinger equations with variable coefficients
- An efficient B-spline difference method for solving system of nonlinear parabolic PDEs
- Hybrid B-Spline Collocation Method for Solving the Generalized Burgers-Fisher and Burgers-Huxley Equations
- A numerical algorithm based on a new kind of tension B-spline function for solving Burgers-Huxley equation
- A robust numerical scheme for the simulation of nonlinear convection–diffusion–reaction equation
- Numerical approximation of inhomogeneous time fractional Burgers–Huxley equation with B-spline functions and Caputo derivative
- Numerical Solution of Generalized Burgers–Huxley Equation by Lie–Trotter Splitting Method
- On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation
- An Advanced Galerkin Approach to Solve the Nonlinear \[6pt]Reaction-Diffusion Equations With Different Boundary Conditions
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