Numerical solution of Burgers' equation by cubic Hermite collocation method

DOI10.1016/j.amc.2014.03.102zbMath1334.65169OpenAlexW2004896507MaRDI QIDQ275048

V. K. Kukreja, Ishfaq Ahmad Ganaie

Publication date: 25 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.102

zbMATH Keywords

Burgers' equationChebyshev rootscubic Hermite collocation methodLegendre roots

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (13)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ A matched Hermite-Taylor matrix method to solve the combined partial integro-differential equations having nonlinearity and delay terms ⋮ Numerical solutions of differential equations having cubic nonlinearity using Boole collocation method ⋮ High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method ⋮ A higher order numerical implicit method for non-linear Burgers' equation ⋮ Local RBF method for multi-dimensional partial differential equations ⋮ Unnamed Item ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers' equation ⋮ Hybrid radial basis function methods of lines for the numerical solution of viscous Burgers' equation ⋮ A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers' equation ⋮ Simulations of nonlinear parabolic PDEs with forcing function without linearization ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

Cites Work

• Unnamed Item
• Numerical solutions of nonlinear Burgers equation with modified cubic B-splines collocation method
• Numerical solution of Burgers equation by the Sobolev gradient method
• A novel numerical scheme for solving Burgers' equation
• Taylor-Galerkin and Taylor-collocation methods for the numerical solutions of Burgers equation using B-splines
• Quintic B-spline collocation method for numerical solution of the Kuramoto-Sivashinsky equation
• A numerical method based on Crank-Nicolson scheme for Burgers' equation
• Numerical solution of the Burgers' equation by automatic differentiation
• The modified local Crank-Nicolson method for one- and two-dimensional Burgers' equations
• A collocation solution for Burgers' equation using cubic B-spline finite elements
• 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
• Quadratic B-spline finite element method for numerical solution of the Burgers' equation
• Collocation method using quartic B-spline for the equal width (EW) equation
• Fourth-order finite difference method for solving Burgers' equation
• An exact solution for Burger's equation
• A table of solutions of the one-dimensional Burgers equation
• A Finite Element Collocation Method for Quasilinear Parabolic Equations
• 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: Numerical solution of Burgers' equation by cubic Hermite collocation method