Finite Volume Methods for Non-Linear Equations
Journal Title: International Journal of Scientific Research and Management - Year 2018, Vol 6, Issue 2
Abstract
We consider the classical numerical-type of models. In the first part we deal with finite difference numerical model for irotational water waves. Finite volume methods are based on the integral form. A numerical model for solving the two-dimensional equations is presented. The standard Galerkin method with mixed interpolation is applied. In the second part we consider the water wave equation with a logarithmic nonlinearity. Using the Galerkin method, we establish the existence of solutions of the problem.
Authors and Affiliations
L. Bezati, Sh. Hajrulla, F. Hoxha
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