An efficient collocation method based on Hermite formula and cubic B-splines for numerical solution of the Burgers' equation

DOI10.1016/j.matcom.2022.02.013OpenAlexW4213178001WikidataQ113869164 ScholiaQ113869164MaRDI QIDQ2139875

Muhammad Abdullah, Muhammad Yaseen, Manuel de la Sen

Publication date: 19 May 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.02.013

zbMATH Keywords

stabilityconvergenceBurgers' equationcubic B-splinesHermite formula

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (max. 100)

A lattice Boltzmann model based on Cole-Hopf transformation for \(N\)-dimensional coupled Burgers' equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of Burgers' equation by B-spline collocation
• B-spline collocation methods for numerical solutions of the Burgers' equation
• Cubic spline technique for coupled non-linear parabolic equations
• Variable mesh cubic spline technique for N-wave solution of Burgers' equation
• A finite element approach to Burgers' equation
• Solution of Burgers' equation with a large Reynolds number
• A collocation solution for Burgers' equation using cubic B-spline finite elements
• A numerical solution of the Burgers' equation using cubic B-splines
• Numerical solutions of fractional wave equations using an efficient class of FDM based on the Hermite formula
• Novel cubic trigonometric B-spline approach based on the Hermite formula for solving the convection-diffusion equation
• On the convergence of odd-degree spline interpolation
• On error bounds for spline interpolation
• Numerical solution of Burgers' equation with factorized diagonal Padé approximation
• A Variational-Iterative Scheme Applied to Burgers' Equation
• Space‐time finite elements incorporating characteristics for the burgers' equation
• Product Approximation for Non-linear Problems in the Finite Element Method
• A moving Petrov-Galerkin method for transport equations
• Higher-Order Numerical Solutions Using Cubic Splines
• A finite element method for Burgers' equation in hydrodynamics
• An efficient computational technique based on cubic trigonometric B-splines for time fractional Burgers' equation

This page was built for publication: An efficient collocation method based on Hermite formula and cubic B-splines for numerical solution of the Burgers' equation