Lecturer of School of Informatics, Dr. Aditya Firman Ihsan received his doctorate in Mathematics at the Bandung Institute of Technology (ITB) last Tuesday (8/11). Aditya earned his doctorate with a dissertation entitled “Two Time Scale Perturbation Methods on the Moving Boundary Problem.”
Firman explained phenomena encountered in nature often involve changing areas/domains, such as melting ice (when the ice melts, the volume of water increases and covers a broader domain). Such a problem is called the Moving Boundary Problem.
“Problems like this are nonlinear, which means that there is often no exact solution mathematically. This research aims to find a more consistent (accurate in a more extended period) approach (approximation) with the Perturbation method, especially with two-time scales.
The trial took place at the CCAR ITB Building, Lt. 3. When interviewed regarding the background of taking this dissertation topic, Aditya explained that this dissertation was created to find a solution approach in a more analytic way (perturbation method), especially in the moving boundary problem.
“Mathematics, mainly applied mathematics, has two general steps for solving physical problems, namely analytic and numerical (computational). Numerical/computational calculations, although beneficial, are often less able to show specific properties that can be examined more deeply in their analytical form.
Aditya hopes this research can be a step towards creating more accurate mathematical solutions in an analytical (not computational) way and, in the end, can help complete complex calculations in other fields.