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Mathematical Modelling of Atherosclerosis-affected Artery with Forced
Korteweg-de-Vries-Burgers (fKdVB) Equation
Lim Yong Zhi
Supervisor: Dr. Azwani Binti Alias
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
The forced Korteweg-de-Vries-Burgers (fKdVB) equation is a nonlinear evolution equation
that can be used for mathematical modelling of Atherosclerosis-affected artery.
Atherosclerosis is a disease which plaque builds up inside the arteries and will cause
various diseases according to which artery is affected. The analytical solution cannot be
used to solve this equation due to the forcing term that breaks those symmetries
associated with the unforced systems. Thus, the semi-implicit pseudospectral method is
being used to develop a numerical scheme to solve the fKdVB equation with arbitrary
forcing. This research focused on different type of forcing that represent the size of
plaque in the artery. We analyze the numerical results to understand the propagation of
blood flow with the presence of different size of plaque in artery. The propagation of
blood flow in the arteries should be different as the presence of various size of plaque in
the artery.
941 | UMT UNDERGRADUATE RESEARCH DAY 2018