Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation
From MaRDI portal
Publication:718787
DOI10.1016/j.cnsns.2007.05.023zbMath1221.65261OpenAlexW2074800107MaRDI QIDQ718787
F. Khani, Samad Kheybari, Mohammad Taghi Darvishi
Publication date: 24 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.05.023
error propagationspectral collocation methodgeneralized Burgers-Huxley equationDarvishi's preconditioningsmatrix-vector multiplication method
Related Items (34)
Numerical solutions of the generalized Burgers-Huxley equation by implicit exponential finite difference method ⋮ An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system ⋮ Numerical solution of initial-boundary system of nonlinear hyperbolic equations ⋮ A numerical scheme for the generalized Burgers-Huxley equation ⋮ Magnetic control of natural convection in the horizontal Bridgman configuration using a spectral method: transversal plan ⋮ On successive linearization method for differential equations with nonlinear conditions ⋮ Implicit Finite Difference Scheme for Singularly Perturbed Burger-Huxley Equations ⋮ A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations ⋮ Analytic study of the generalized Burger's-Huxley equation by hyperbolic tangent method ⋮ Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation ⋮ Bounded traveling waves of the Burgers-Huxley equation ⋮ On the numerical solution of nonlinear Burgers'-type equations using meshless method of lines ⋮ Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation ⋮ Numerical solution of electrodynamic flow by using pseudo-spectral collocation method ⋮ Unnamed Item ⋮ Development of Galerkin method for solving the generalized Burger's-Huxley equation ⋮ Hybrid B-spline collocation method for solving the generalized Burgers-Fisher and Burgers-Huxley equations ⋮ A robust adaptive grid method for singularly perturbed Burger-Huxley equations ⋮ A positive and bounded finite element approximation of the generalized Burgers-Huxley equation ⋮ A simple spatial integration scheme for solving Cauchy problems of non-linear evolution equations ⋮ NEW EXACT SOLUTIONS OF COUPLED (2+1)-DIMENSIONAL NONLINEAR SYSTEMS OF SCHRÖDINGER EQUATIONS ⋮ Dynamics and synchronization of numerical solutions of the Burgers equation ⋮ Chebyshev Wavelet collocation method for solving generalized Burgers-Huxley equation ⋮ A singular perturbation approach to solve Burgers-Huxley equation via monotone finite difference scheme on layer-adaptive mesh ⋮ On the generalized Burgers-Huxley equation: existence, uniqueness, regularity, global attractors and numerical studies ⋮ An efficient Mickens' type NSFD scheme for the generalized Burgers Huxley equation ⋮ High-order finite difference schemes for numerical solutions of the generalized Burgers-Huxley equation ⋮ Haar wavelet method for solving generalized Burgers-Huxley equation ⋮ Numerical solutions of the generalized Burgers-Huxley equation by a differential quadrature method ⋮ Numerical solutions of Burgers–Huxley equation by exact finite difference and NSFD schemes ⋮ Efficient and accurate numerical treatment of Huxley equation ⋮ B-spline collocation algorithm for numerical solution of the generalized Burger's-Huxley equation ⋮ PERSISTENCE OF TRAVELLING WAVEFRONTS IN A GENERALIZED BURGERS-HUXLEY EQUATION WITH LONG-RANGE DIFFUSION ⋮ On the performance of some NSFD methods for a 2-D generalized Burgers–Huxley equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
- Global properties of pseudospectral methods
- On the errors incurred calculating derivatives using Chebyshev polynomials
- Roundoff error in computing derivatives using the Chebyshev differentiation matrix
- The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points
- Solitary wave solutions of the generalised Burgers-Huxley equation
- Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
- Spectral Differencing with a Twist
- Accuracy and Speed in Computing the Chebyshev Collocation Derivative
- Non-classical symmetries and the singular manifold method: the Burgers and the Burgers-Huxley equations
- Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
This page was built for publication: Spectral collocation method and Darvishi's preconditionings to solve the generalized Burgers-Huxley equation