Four Points Block Method with Second Derivative for Solving First Order Ordinary Differential Equations
DOI:
https://doi.org/10.31642/JoKMC/2018/100203%20Keywords:
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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Copyright (c) 2023 Niran Sabah Jasim, Mohammed Yousif Turki , Mohammed S. Mechee, Shrooq Bahjat Smeein
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