AnO(K2 +h4) finite difference method for one-space Burger's equation in polar coordinates

DOI<579::AID-NUM3>3.0.CO;2-H 10.1002/(SICI)1098-2426(199609)12:5<579::AID-NUM3>3.0.CO;2-HzbMath0861.65074OpenAlexW2104422534MaRDI QIDQ4716116

Ranjan Kumar Mohanty

Publication date: 29 April 1997

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199609)12:5<579::aid-num3>3.0.co;2-h

zbMATH Keywords

stabilityconvergencefinite difference methodnumerical examplesBurgers equationimplicit difference scheme

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) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

A family of quasi-variable meshes high-resolution compact operator scheme for Burger's-Huxley, and Burger's-Fisher equation, Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations, A new stable variable mesh method for 1D nonlinear parabolic partial differential equations, An implicit high accuracy variable mesh scheme for 1D nonlinear singular parabolic partial differential equations, Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation, Unnamed Item, Three point discretization of order four and six for (du:dx) of the solution of non-linear singular two point boundary value problem, Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k² + h⁴) difference method, An unconditionally stable andO(?2 +h4) orderL? convergent difference scheme for linear parabolic equations with variable coefficients, A Collocation Solution For Burgers Equation Using Quadratic B-Spline Finite Elements, High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations†, Application of AGE Method to High Accuracy Variable Mesh Arithmetic Average Type Discretization for 1D Non-linear Parabolic Initial Boundary Value Problems, Finite difference approximate solutions for the two-dimensional Burgers' system.

Cites Work

• High order difference methods for heat equation in polar cylindrical coordinates
• High order difference methods for linear variable coefficient parabolic equation
• The operator compact implicit method for parabolic equations
• A fourth order difference method for the one-dimensional general quasilinear parabolic partial differential equation
• High order difference methods for system of id nonlinear parabolic partial differential equations
• Predictor-corrector methods for parabolic partial differential equations
• Monotone Difference Schemes for Diffusion-Convection Problems
• High Accuracy Difference Schemes for the Cylindrical Heat Conduction Equation
• Solutions Illustrating the Decay of Dissipation Layers in Burgers' Nonlinear Diffusion Equation
• On Predictor-Corrector Methods for Nonlinear Parabolic Differential Equations
• A mathematical example displaying features of turbulence
• The partial differential equation u_t + uu_x = μ_xx