Exact solution to a class of problems for the Burgers’ equation on bounded intervals

In this study, we consider Burgers’ equation with fixed Dirichlet boundary conditions on generic bounded intervals. By employing the Hopf–Cole transformation and a recently established exact operational solution for linear reaction–diffusion equations, an exact solution in the time domain is derived...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Kwassi Anani, Mensah Folly-Gbetoula
Format:	Article
Language:	English
Published:	Elsevier 2024-12-01
Subjects:	Burgers’ equation Hopf–Cole transformation Integral transforms Closed-form solution Laplace domain Numerical efficiency
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124003632