Numerical modelling of 1-dimensional wave equation using finite difference scheme

Nor Syazwani , Mohd Ridzun (2013) Numerical modelling of 1-dimensional wave equation using finite difference scheme. Project Report. UTeM, Melaka. (Submitted)

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Abstract

Finite difference scheme numerical technique was used to simulate the 1-dimensional wave equation. The 1-imensional wave equation was modelled in the MATLAB software. One-dimensional wave equation is a physical phenomenon that happens in vibrating string. From the complete numerical modelling in MATLAB, the wave behaviour from the graph was studied from the variation of parameters. In order to write a complete model using MATLAB, several steps were needed for examples function declaration, global parameters definition, stability condition setting, derived parameters declaration and graph plotting sections. The complete program of numerical simulation of 1-dimensional wave equation was analysed. As conclusion, the 1-dimensional wave equation can be derived by using Finite Difference Scheme. The center finite difference approximation is used to derive 1-dimensional wave equation. The study guides on the behaviour of 1-dimensional wave towards the prediction and assisting warning precaution on natural disasters like earthquakes, tsunamis, slides and also on design of string musical instrumentation.

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