In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the ...

The purpose of the Air Transportation System (ATS) is to provide safe and efficient transportation of passengers and cargo. The on-time performance of the ATS is measured by flight-based metrics such as flight delays and flight cancellations. Researchers have shown that flight-based metrics do not accurately reflect the passenger trip experience, and especially underestimate the impacts of canc...