One-Step, Sixth-Order Numerical Method via Pade Approximants for the Solutions of Stiff Differential Equations

The paper describes a one-step, six-order method for treating stiff differential equations using Pade rational functions. Dalquist’s model test equation was used to analyze its basic properties. The results show that the method is consistent and convergent. Numerical results and comparative analysis with some methods show that the method is very efficient and more accurate.