Numerical Simulation of Wave Equation
linear advection equation, equation of continuity, wave equation, central difference scheme, explicit upwind difference scheme
Abstract
Wave equation is a very important equation in applied mathematics. This equation is used to simulate large destructive waves in fjord, lake, or the ocean generated by slides, earthquakes, subsea volcanoes, meteorites. It has analytical solution but it is time consuming. Therefore one needs to use numerical methods for solving this equation. For this we investigate finite difference method and present explicit upwind difference scheme for one dimensional wave equation, central difference scheme for second order wave equation. We implement the numerical scheme by computer programming for initial boundary value problem and verify the qualitative behavior of the numerical solution of the wave equation.
Downloads
How to Cite
References
Michel Mehrenberger, Nicolas Crouseilles, Eric Sonnendrucker, Bedros Afeyan (2013) PPPS-2013: High-order numerical methods for KEEN wave Vlasov-Poisson simulations. 1-1.
(2005) Partial Differential Equations-Stepan Tersian.
L Andellah Finite Difference Method-Explicit Upwind Difference Scheme.
Alfio Quarteroni, Luca Formaggia (2004) Mathematical Modelling and Numerical Simulation of the Cardiovascular System. 3-127.
Knut Andress, Lie The Wave Equation in 1D and 2D.
John Strikwedra Finite Difference Schemes and Partial Differential Equation.
J Peter, Olver (2005) Group Theory and Numerical Analysis.
Published
2014-12-29
Issue
Section
License
Copyright (c) 2014 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.