A linearized numerical scheme for Burgers-like equations

DOI10.1016/j.amc.2003.07.011zbMath1061.65081OpenAlexW1992176890MaRDI QIDQ1888548

Selcuk Kutluay, Alaattin Esen

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.07.011

zbMATH Keywords

numerical examplesBurgers' equationLinearized implicit finite-difference method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (14)

Qualitative analysis and numerical solution of Burgers' equation via B-spline collocation with implicit Euler method on piecewise uniform mesh ⋮ An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation ⋮ On the class of high order time stepping schemes based on Padé approximations for the numerical solution of Burgers' equation ⋮ Nonlinear dynamics of the Burgers' equation and numerical experiments ⋮ The new numerical method for solving the system of two-dimensional Burgers equations ⋮ Numerical solution of Burgers' equation with high order splitting methods ⋮ Numerical solution of Burgers' equation by quadratic B-spline finite elements ⋮ Numerical solution of the Burgers' equation by local discontinuous Galerkin method ⋮ An accurate approximation algorithm for Burgers' equation in the presence of small viscosity ⋮ A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation ⋮ Weak formulation based Haar wavelet method for solving differential equations ⋮ An exponentially fitted method for solving Burgers' equation ⋮ Numerical solution of Burgers' equation with factorized diagonal Padé approximation ⋮ Fourth-order finite difference method for solving Burgers' equation

Cites Work

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• Solution of Burgers' equation with a large Reynolds number
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• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• Numerical solution of periodic Burgers equation
• A direct variational method applied to Burgers' equation
• Numerical solution of Burger's equation
• Space‐time finite elements incorporating characteristics for the burgers' equation
• A table of solutions of the one-dimensional Burgers equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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