A differential quadrature based numerical method for highly accurate solutions of Burgers' equation

DOI10.1002/num.22178zbMath1383.65114OpenAlexW2725738840WikidataQ115398013 ScholiaQ115398013MaRDI QIDQ4603163

V. S. Aswin, Mohammad Mehdi Rashidi, Ashish Awasthi

Publication date: 19 February 2018

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22178

zbMATH Keywords

numerical examplequasilinearizationBurgers'equationChebyshev-Gauss-Lobatto gridelimination of nonlinearityhighly accurate numerical schemepolynomial based differential quadrature method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (16)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method ⋮ Systematic formulation of a general numerical framework for solving the two-dimensional convection-diffusion-reaction system ⋮ Propagation of ion-acoustic solitary waves for damped forced Zakharov Kuznetsov equation in a relativistic rotating magnetized electron-positron-ion plasma ⋮ A higher order implicit adaptive finite point method for the Burgers' equation ⋮ On adaptive mesh for the initial boundary value singularly perturbed delay Sobolev problems ⋮ A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations ⋮ A spectrally accurate time ‐ space pseudospectral method for viscous Burgers' equation ⋮ Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem ⋮ Differential quadrature parallel algorithms for solving systems of convection-diffusion and reaction models ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ Predictor-corrector nodal integral method for simulation of high Reynolds number fluid flow using larger time steps in Burgers' equation ⋮ The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation ⋮ Non-standard finite difference based numerical method for viscous Burgers' equation ⋮ A second-order energy stable and nonuniform time-stepping scheme for time fractional Burgers' equation ⋮ Different wave structures to the \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation

This page was built for publication: A differential quadrature based numerical method for highly accurate solutions of Burgers' equation