Mathematics

Finite Volume Methods for Non-Linear Equations

L. Bezati, Sh. Hajrulla, F. Hoxha,
Article Date Published : 1 February 2018 | Page No.: M-2018-17-24 | Google Scholar

Downloads

Download data is not yet available.

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.

Author's Affiliation

Copyrights & License

International Journal of Scientific Research and Management, 2018.
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Article Details


Issue: Vol. 6 No. 02 (2018)
Page No.: M-2018-17-24
Section: Mathematics
DOI: https://doi.org/10.18535/ijsrm/v6i2.m03

How to Cite

Bezati, L., Hajrulla, S., & Hoxha, F. (2018). Finite Volume Methods for Non-Linear Equations. International Journal of Scientific Research and Management, 6(02), M-2018. https://doi.org/10.18535/ijsrm/v6i2.m03

Download Citation

  • HTML Viewed - 129 Times
  • PDF Downloaded - 34 Times
  • XML Downloaded - 29 Times