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Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method
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Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method
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Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method
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Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method
Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method
Journal Article

Numerical Solution of Coupled-BBM Systems of Boussinesq Type by Implicit Finite Difference Method

2011
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Overview
In this paper we study a numerical solution of coupled BBM systems of Boussinesq type, which describes approximately the two ways propagation of surface wave in a uniform horizontal channel of length l filled in its undisturbed depth h. This paper is devoted to drive the matrix algebraic equation for the one-dimensional nonlinear BBM system which is obtaining from using the implicit finite difference method. The convergence analysis of the solution is proved. Numerical experiments are presented with a variety of initial conditions describing the generation and evolution of such waves, and their interactions.
Publisher
جامعة الموصل - كلية علوم الحاسوب والرياضيات