Numerical method for the analysis of time-varying singular systems

A new method that generates approximate values of the solution of the time- varying singular problem is presented in the paper. The method of regularis ation is used to overcome the ill-posedness of this problem and a relation between the unknown state variable and its derivative is generated. A pseud ospectral method is used to discretise this relationship. The discrete rela tionship between the state variable and its derivative is reduced to a set of algebraic equations, which are solved to produce values of the state var iable at discrete values of time. Performance of this method is evaluated t hrough its application to the solution of an example of a time-varying sing ular system. Results from this example show that this method generates exce llent approximate values for the state variable of the singular system.