A new transformation of Burgers equation for an exact solution in a bounded region necessary for certain boundary conditions

DOI10.1016/J.AMC.2009.10.041zbMath1184.35272OpenAlexW2095504976MaRDI QIDQ846451

Donald O. Besong

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.041

zbMATH Keywords

Burgers equation with Robin boundaryCole-Hopf-type transformationexact solution of Burgers equationlimitations of the Cole-Hopf transformation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items (2)

The pointwise estimates of a conservative difference scheme for Burgers' equation ⋮ Exact solutions of Burgers equation with moving boundary

Cites Work

• Unnamed Item
• Solution of the Burgers equation using an implicit linearizing transformation
• Burgers equation on the infinite interval
• An exact solution for Burger's equation
• The Burgers equation on the semi-infinite and finite intervals
• The partial differential equation u_t + uu_x = μ_xx

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