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Solving Nonlinear Partial Differential Equations by
Reduced Differential Transform Method (RDTM)
Norshahirah Binti Mohamad Sopi
Supervisor: Dr. Azwani Binti Alias
Bachelor of Science (Computational Mathematics)
School of Informatics and Applied Mathematics
Partial Differential Equations (PDEs) are normally more difficult to solve, compared to
Ordinary Differential Equations (ODEs), mainly for nonlinear PDEs. Nonlinear PDEs
involves one or more partial derivatives of one or more variables with nonlinear terms.
An analytical method will be focused to solve nonlinear PDEs, in particularly for Advection
equation for single equation and then, proceed with Coupled Burger’s equation for
coupled system. Reduced Differential Transform Method (RDTM) is an analytical methods
in solving nonlinear PDEs. This method is applied in a direct way and does not require
any linearization or discretization. Therefore, RDTM will be applied for Advection and
Coupled Burger’s equation in this research. In conclusion, exact solutions for both
equations will be presented, and the solutions will be analyzed using Maple.
971 | UMT UNDERGRADUATE RESEARCH DAY 2018