On the class of high order time stepping schemes based on Padé approximations for the numerical solution of Burgers' equation

DOI10.1016/j.amc.2008.08.025zbMath1157.65439OpenAlexW2058923119MaRDI QIDQ2378786

Muhammad Irfan Yousuf

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.08.025

zbMATH Keywords

convergencenumerical resultsheat equationparallel computationBurgers' equationPadé approximationsfinite difference\(L\)-stable methods

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) Parallel numerical computation (65Y05)

Related Items (2)

Hybrid BDF methods for the numerical solutions of ordinary differential equations ⋮ Variational multiscale element free Galerkin method coupled with low-pass filter for Burgers' equation with small diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles
• A numerical scheme based on a solution of nonlinear advection--diffusion equations
• A numerical method based on Crank-Nicolson scheme for Burgers' equation
• On smoothing of the Crank-Nicolson scheme and higher order schemes for pricing barrier options
• A parallel block cyclic reduction algorithm for the fast solution of elliptic equations
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• A fully implicit finite-difference scheme for two-dimensional Burgers' equations
• A numerical solution of the Burgers' equation using cubic B-splines
• A linearized numerical scheme for Burgers-like equations
• Invariantization of the Crank-Nicolson method for Burgers' equation
• A finite difference approach for solution of Burgers' equation
• A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation
• On parallel algorithms for semidiscretized parabolic partial differential equations based on subdiagonal Padé approximations
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data
• High order smoothing schemes for inhomogeneous parabolic problems with applications in option pricing
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

This page was built for publication: On the class of high order time stepping schemes based on Padé approximations for the numerical solution of Burgers' equation