Generalized STWS technique for higher order time-varying singular systems

Abstract

A study of different higher-order time-varying singular systems of initial value problems (IVPs) using the generalized single-term Walsh series (STWS technique) is presented. The existing STWS technique is used to solve IVPs of first- and second-order systems and is extended to determine discrete solutions for the systems of IVPs of any higher order n with p variables. The effectiveness of the technique is demonstrated by using it to find discrete solutions for time-varying singular systems of different orders.

Keywords:

• Single-term Walsh series
• Walsh function
• Block pulse function
• Initial value problems
• Singular

Acknowledgements

The authors gratefully acknowledge the management of Bishop Heber College, Tiruchirappalli, for encouragement and support. They also gratefully remember and acknowledge the academic support provided by the late Professor David J. Evans for their research in the field of computational mathematics.