Study on singular systems of index three via runge-kutta method of order-10

Singular systems of index three are investigated using Single Term Walsh Series (STWS) technique and Runge-Kutta method of order-10 (RK10). Singular systems are remodeled as initial value problems and have been solved using RK-10. The obtained results are compared with the exact solutions and are found to be very accurate. The proposed method is very simple to implement in a digital computer and the solutions can be found for any length of time. Numerical examples are presented. AMS Subject Classification: 93C15, 42C05, 65L06