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D Blömker, M Hairer, and G A. Pavliotis. Stochastic Swift-Hohenberg Equation Near A Change of Stability, Proceedings of Equadiff-11. pp. 27.37, (2005).

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Article

The Approximate Solutions of the stochastic Generalized Swift-Hohenberg Equation with Neumann Boundary Conditions

1Department of Mathematics, Faculty of Science, Mansoura University, Egypt


International Journal of Partial Differential Equations and Applications. 2015, Vol. 3 No. 1, 12-19
DOI: 10.12691/ijpdea-3-1-3
Copyright © 2015 Science and Education Publishing

Cite this paper:
E. M Elabbasy, Wael W. Mohammed, Mahmoud A. Nagy. The Approximate Solutions of the stochastic Generalized Swift-Hohenberg Equation with Neumann Boundary Conditions. International Journal of Partial Differential Equations and Applications. 2015; 3(1):12-19. doi: 10.12691/ijpdea-3-1-3.

Correspondence to: Mahmoud  A. Nagy, Department of Mathematics, Faculty of Science, Mansoura University, Egypt. Email: mahmoud_ali@mans.edu.eg

Abstract

We consider the stochastic Generalized Swift-Hohenberg (GSSH) equation with respect to Neumann boundary conditions on the interval [0, π] in this form Our aim of this paper is to approximate the solutions of (GSSH) via the amplitude equation with quintic term.

Keywords