Comparison of semi-analytical methods with solving surge tank problemK. Canevi, S. Servi, G. OturançHydroelectric power plants are substantial alternative energy source among renewable energy sources. While these power plants are working, sudden pressure changes occur in the water transfer system that reveal a concept called water hammer. In these power plants, a structure called surge tank is usually built to prevent the water hammer from damaging any element in the water transfer system. The surge tank needs to be constructed according to the physical characteristics of the dam. The engineering problem revealed in the construction of the surge tank is expressed by a nonlinear differential equation system. This equation system does not have analytical solution. In this paper, four different numerical methods were used to find the solution of the surge tank problem, which was expressed as an initial value problem. The methods those are used and to be compared are differential transform method, Adomian decomposition method, variational iteration method and Runge-Kutta-Fehlberg method. Calculation algorithms were executed with Maple software. It has been observed that the obtained solutions with all four methods are consistent.Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16, supplement issue 4 (2023), pp. 115-131 |