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Semi-implicit Finite Difference Method for
One Dimensional Shallow Water Equation
Ong Sin Yi
Supervisor: Dr. Ilyani Binti Abdullah
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The aim of this research is to solve the one-dimensional shallow water equation in the
semi-implicit scheme. Shallow water equation is widely implemented in handling fluid flow
problem. However, shallow water equation is difficult to solve by an analytical approach.
Thus, the method used in this research is the semi-implicit scheme finite difference. The
shallow water equation is discretized by using finite difference and Crank-Nicolson
scheme to form the equation in the semi-implicit scheme. Besides that, the objectives of
this research are to solve the one-dimensional shallow water equation by using semiimplicit
finite difference methods and calculate the height of water wave and the product
of depth-averaged velocity and water velocity. At the end of this research, the shallow
water equation is solved by using semi-implicit finite difference method and the height of
water wave and the product of depth-averaged velocity and water velocity are calculated.
999 | UMT UNDERGRADUATE RESEARCH DAY 2018