# Four Points Block Method with Second Derivative for Solving First Order Ordinary Differential Equations

## Authors

• Niran Sabah Jasim University of Baghdad/College of Education for Pure Science https://orcid.org/0000-0001-5340-3020
• Mohammed Yousif Turki Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Iraq
• Mohammed S. Mechee Information Technology Research and Development Center (ITRDC) University of kufa
• Shrooq Bahjat Smeein University of Technology and Applied science -Muscat, Information Department

## Keywords:

A four points, Block Method, first Order Ordinary Differential Equations.

## Abstract

In this study, we devised 4-point implicit block (New 4pb) approaches that take advantage of second derivatives. The aim provides is more accurate and quicker numerical solutions to first - order ordinary differential equations (ODEs). Whereas the properties of the (New 4pb) method such as the  order and zero-stability have been discussed. After that, the approaches are applied to a collection of first-order (ODEs). In addressing the set of test problems, numerical results clearly indicate that the newly proposed systems outperformed previous, well-known existing methods.

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2023-08-31

## How to Cite

Sabah Jasim, N., Yousif Turki , M., Mechee, M. . S., & Smeein, S. B. (2023). Four Points Block Method with Second Derivative for Solving First Order Ordinary Differential Equations. Journal of Kufa for Mathematics and Computer, 10(2), 16–22. https://doi.org/10.31642/JoKMC/2018/100203

## Section

Articles  