This article therefore proposes a class of four-step methods each with three functions evaluation per iteration.

Our focus is the development and implementation of a new two-step hybrid method for the direct solution of general second order ordinary differential equation.

Published by license under the Gordon and Breach Science. Publishers imprint. Printed in Singapore. A NEW SIXTH-ORDER ALGORITHM. FOR GENERAL SECOND ORDER.

An Eight Order Two-Step Taylor Series Algorithm for the Numerical Solutions of Initial Value Problems of Second Order Ordinary Differential Equations.

A new sixth-order algorithm for general second order ordinary differential equation. January 2001; International Journal of Computer Mathematics 77(1):117-124.

Awoyemi, D.O. (2001) A New Sixth Order Algorithm for General Second Order Ordinary Differential Equation. International Journal of Computer Mathematics, 77 ...

An irrational three-step method is developed. Taylor series and block methods are used to generate the independent solution at selected points. The properties ...

Recognising the importance of this factor, this article therefore proposes a class of four-step methods each with three functions evaluation per iteration. The ...

Oct 22, 2024 · PDF | this article, an explicit Runge-Kutta-Nystr m method of sixth order for solving directly second-order ordinary differential equations ...

Jan 1, 2022 · We propose a novel general approach for constructing sixth-order (with respect to an integration step) finite-difference schemes for first-order linear ...