A new order m – 1 rational integrator with an inhomogeneuous constant

Abstract

In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations. We establish the integrator formula with an interpolants of order m – 1, to determine the convergence and consistency of the method with the use of MATLAB softwares. We compared our integrators with “Numerical Strategies for the System of First Order IVPs using Block Hybrid Extended Trapezoidal Multistep of Second Kind for Stiff ODEs” and “A quartic based denominator of order six rational integrator in ordinary differential Equations” to solve real-life problems which ascertain the convergence and consistency of our scheme. Our results show good improvement over the existing methods compared with.

Keywords

• Rational integrator
• Stiff
• Singular and oscillatory problems
• Stability function and region of absolute stability (RAS)
• AMS (2020) Subject Classification: 65L03, 65L10