On the exact and numerical solution of the time-delayed Burgers equation

Authors:
E. S. Fahmy;K. R. Raslan;H. A. Abdusalam
Affiliations:
Mathematics Department, Faculty of Science, King Saud University, Riyadh, Kingdom of Saudi Arabia;Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Egypt;Mathematics Department, Faculty of Science, King Saud University, Riyadh, Kingdom of Saudi Arabia
Venue:
International Journal of Computer Mathematics
Year:
2008

Citing 1
Cited 1

Nonlinear partial differential equations: for scientists and engineers

Nonlinear partial differential equations: for scientists and engineers

ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations

Journal of Computational and Applied Mathematics

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Abstract

The time-delayed Burgers equation is introduced and the improved tanh-function method is used to construct exact multiple soliton and triangular periodic solutions. For an understanding of the nature of the exact solutions that contained the time-delay parameter, we calculated the numerical solutions of this equation by using the Adomian decomposition method to the boundary value problem.