An efficient scheme for numerical solution of Burgers' equation using quintic Hermite interpolating polynomials

DOI10.1007/s40065-015-0137-6zbMath1382.65337OpenAlexW2241327589WikidataQ59479124 ScholiaQ59479124MaRDI QIDQ5964839

Inderpreet Kaur, Shelly Arora

Publication date: 1 March 2016

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-015-0137-6

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Quasilinear parabolic equations (35K59)

Related Items (6)

Solution of Benjamin-Bona-Mahony-Burgers equation using collocation method with quintic Hermite splines ⋮ Super convergence analysis of fully discrete Hermite splines to simulate wave behaviour of Kuramoto-Sivashinsky equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An exploration of quintic Hermite splines to solve Burgers' equation ⋮ Error bounds for septic Hermite interpolation and its implementation to study modified Burgers' equation

Cites Work

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• Error estimates for discrete spline interpolation: Quintic and biquintic splines
• A numerical method based on Crank-Nicolson scheme for Burgers' equation
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• A numerical solution of Burgers' equation by modified Adomian method
• A numerical solution of the Burgers' equation using cubic B-splines
• Numerical solution of Burgers' equation by quadratic B-spline finite elements
• A new decoupling technique for the Hermite cubic collocation equations arising from boundary value problems
• Numerical solutions of the Burgers' equation by the least-squares quadratic B-spline finite element method
• An implicit fourth-order compact finite difference scheme for one-dimensional Burgers' equation
• On error bounds for spline interpolation
• A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time

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