Numerical study of third-order ordinary differential equations using a new class of two derivative Runge-Kutta type methods

This study introduces new special two-derivative Runge-Kutta type (STDRKT) methods involving the fourth derivative of the solution for solving third-order ordinary differential equations. In this regards, rooted tree theory and the corresponding B-series theory is proposed to derive order conditions...

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Bibliographic Details
Main Authors: Lee, Khai Chien, Senu, Norazak, Ahmadian, Ali, Ibrahim, Siti Nur Iqmal, Baleanu, D.
Format: Article
Language:English
Published: Elsevier 2020
Online Access:http://psasir.upm.edu.my/id/eprint/86938/1/Numerical%20study%20of%20third-order%20ordinary%20differential%20equations.pdf
http://psasir.upm.edu.my/id/eprint/86938/
https://www.sciencedirect.com/journal/alexandria-engineering-journal/vol/59/issue/4
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