THK-ORDER INVERSE POLYNOMIAL METHODS FOR THE INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS WITH SINGULARITIES

Abstract

In this thesis, Inverse Polynomial Schemes are developed, analysed and computerized to solve ordinary differential equations with singularities. The method is motivated by the variety of application areas of this class of ordinary differential equations. In its development and analysis, Taylor’s series expansion, Binomial series expansion and Pade's approximation technique are used respectively, these schemes are convergent and A-Stable, Numerical results show that the schemes are effective and efficient.