A Numerical Simulation Based on Modified Keller Box Scheme for Fluid Flow: The Unsteady Viscous Burgers’ Equation

DOI10.1007/978-81-322-2485-3_47zbMath1381.76239OpenAlexW2462953530MaRDI QIDQ2801946

S. Jayaraj, B. Mayur Prakash, Ashish Awasthi

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_47

zbMATH Keywords

finite difference methodBurgers' equationkinematic viscositybox methodHopf-Cole transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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• A finite difference approach for solution of Burgers' equation
• On some approximate and exact solutions of boundary value problems for Burgers' equation
• A table of solutions of the one-dimensional Burgers equation
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• A new formulation of the general solution to Burgers' equation.

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