Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation
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Publication:2374020
DOI10.1016/j.cpc.2015.11.007zbMath1351.35167OpenAlexW2174308124MaRDI QIDQ2374020
Harish P. Bhatt, Abdul Q. M. Khaliq
Publication date: 14 December 2016
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2015.11.007
Padé approximationcompact schemecoupled viscous Burgers' equationpartial fraction splitting techniqueexponential time differencing scheme
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
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Uses Software
Cites Work
- Numerical solution of the coupled viscous Burgers equations by Chebyshev-Legendre pseudo-spectral method
- Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations
- A hybrid numerical scheme for the numerical solution of the Burgers' equation
- A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations
- A composite numerical scheme for the numerical simulation of coupled Burgers' equation
- Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations
- Variational iteration method for solving Burgers and coupled Burgers equations
- Numerical solution of Burgers' equations in two space dimensions
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- Numerical solution of the coupled viscous Burgers equation
- A spectral method for the time evolution in parabolic problems
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- A Chebyshev spectral collocation method for solving Burgers'-type equations
- Implementation of exponential Rosenbrock-type integrators
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Distributed approximating functional approach to Burgers' equation in one and two space dimensions
- Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
- A fast spectral algorithm for nonlinear wave equations with linear dispersion
- The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems
- Highly accurate compact mixed methods for two point boundary value problems
- An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
- Analysis and applications of the exponential time differencing schemes and their contour integration modifications
- A differential quadrature method for numerical solutions of Burgers'‐type equations
- Efficient and accurate finite difference schemes for solving one-dimensional Burgers’ equation
- A Fourier Pseudospectral Method for Solving Coupled Viscous Burgers Equations
- On Restart and Error Estimation for Krylov Approximation of $w=f(A)v$
- On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations
- Attainable order of rational approximations to the exponential function with only real poles
- Classroom Note:Calculation of Weights in Finite Difference Formulas
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Linearly Implicit IMEX Runge--Kutta Methods for a Class of Degenerate Convection-Diffusion Problems
- Haar wavelet-based numerical investigation of coupled viscous Burgers' equation
- Fourth-Order Time-Stepping for Stiff PDEs
- Fourth‐order compact schemes of a heat conduction problem with Neumann boundary conditions
- Functions of Matrices
- The partial differential equation ut + uux = μxx
- On a quasi-linear parabolic equation occurring in aerodynamics
- An explicit solution of coupled viscous Burgers' equation by the decomposition method
