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Mathematical Modelling for Water Wave Propagation using
One Dimensional Shallow Water Equation in Tsunami Model
Siti Nur Syahirah Binti Rosli
Supervisor: Dr. Ilyani Binti Abdullah
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Shallow water equation can be used to describe the propagation of water waves in areas
such as rivers, shoreline, drainage and others. Based on previous studies, various
numerical methods have been used to solve the shallow water equation of one dimension
but these methods have errors in calculations. In this study, the finite difference method
was used to solve the shallow water equation using explicit scheme. This explicit scheme
can improve the numerical stability of the solution. The finite difference equation is
suitable for use as its properties are classified for fluid movement and are suitable for
water wave propagation in the tsunami model. From this project, the explicit method can
solve the shallow water equation and it can also gain stability. In other words, the
propagation of water waves during the tsunami can be identified by simulating the
tsunami model using the method described.
1004 | UMT UNDERGRADUATE RESEARCH DAY 2018