Numerical solutions of the modified Burgers equation by Petrov-Galerkin method

DOI10.1016/j.amc.2011.09.010zbMath1244.65141OpenAlexW1973194725MaRDI QIDQ426408

K. S. Bhamra, Thoudam Roshan

Publication date: 11 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.09.010

zbMATH Keywords

stabilitynumerical examplesBurgers' equationPetrov-Galerkin methodproduct approximationcubic B-splinewave packet

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (7)

Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation ⋮ Numerical solutions of the modified Burgers' equation by finite difference methods ⋮ An improvised collocation algorithm with specific end conditions for solving modified Burgers equation ⋮ A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation ⋮ Numerical solutions of the modified Burgers equation by a cubic B-spline collocation method ⋮ A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

Cites Work

• Lattice Boltzmann model for the modified Burgers' equation
• Petrov-Galerkin methods for nonlinear dispersive waves
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• A finite element approach for solution of Burgers' equation
• A numerical solution of the Burgers' equation using cubic B-splines
• Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
• A Galerkin finite element approach to Burgers' equation
• A numerical solution of the Burgers' equation using septic \(B\)-splines
• Numerical treatment for the modified Burgers equation
• Large‐Time Asymptotics for Periodic Solutions of the Modified Burgers Equation
• Efficient accurate numerical treatment of the modified Burgers’ equation
• Product Approximation for Non-linear Problems in the Finite Element Method
• Sonic shocks governed by the modified Burgers' equation

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