A new order m – 1 rational integrator with an inhomogeneuous constant
In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations. We establish the integrator formula with an interpolants of order m – 1, to determine the convergence and consistency of the method with the use...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Scientific African |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468227623000133 |
| _version_ | 1811159610949632000 |
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| author | Fidelis Ebhohomen Matthew Olanrewaju Oluwayemi |
| author_facet | Fidelis Ebhohomen Matthew Olanrewaju Oluwayemi |
| author_sort | Fidelis Ebhohomen |
| collection | DOAJ |
| description | In this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations. We establish the integrator formula with an interpolants of order m – 1, to determine the convergence and consistency of the method with the use of MATLAB softwares. We compared our integrators with “Numerical Strategies for the System of First Order IVPs using Block Hybrid Extended Trapezoidal Multistep of Second Kind for Stiff ODEs” and “A quartic based denominator of order six rational integrator in ordinary differential Equations” to solve real-life problems which ascertain the convergence and consistency of our scheme. Our results show good improvement over the existing methods compared with. |
| first_indexed | 2024-04-10T05:44:11Z |
| format | Article |
| id | doaj.art-560abedab93345db8ef41ed5b03598d8 |
| institution | Directory Open Access Journal |
| issn | 2468-2276 |
| language | English |
| last_indexed | 2024-04-10T05:44:11Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Scientific African |
| spelling | doaj.art-560abedab93345db8ef41ed5b03598d82023-03-06T04:18:05ZengElsevierScientific African2468-22762023-03-0119e01554A new order m – 1 rational integrator with an inhomogeneuous constantFidelis Ebhohomen0Matthew Olanrewaju Oluwayemi1Department of Mathematics, Ambrose Alli University, Ekpoma, Edo State, NigeriaLandmark University SDG 4 (Quality Education Research Group), Omu-Aran, Nigeria; Department of Physical Sciences, Mathematics Programme, Landmark University, Omu-Aran, NigeriaIn this research work we derived a new order m – 1, rational integrator with an inhomogeneous constant for the solution of ordinary differential equations. We establish the integrator formula with an interpolants of order m – 1, to determine the convergence and consistency of the method with the use of MATLAB softwares. We compared our integrators with “Numerical Strategies for the System of First Order IVPs using Block Hybrid Extended Trapezoidal Multistep of Second Kind for Stiff ODEs” and “A quartic based denominator of order six rational integrator in ordinary differential Equations” to solve real-life problems which ascertain the convergence and consistency of our scheme. Our results show good improvement over the existing methods compared with.http://www.sciencedirect.com/science/article/pii/S2468227623000133Rational integratorStiffSingular and oscillatory problemsStability function and region of absolute stability (RAS)AMS (2020) Subject Classification: 65L03, 65L10 |
| spellingShingle | Fidelis Ebhohomen Matthew Olanrewaju Oluwayemi A new order m – 1 rational integrator with an inhomogeneuous constant Scientific African Rational integrator Stiff Singular and oscillatory problems Stability function and region of absolute stability (RAS) AMS (2020) Subject Classification: 65L03, 65L10 |
| title | A new order m – 1 rational integrator with an inhomogeneuous constant |
| title_full | A new order m – 1 rational integrator with an inhomogeneuous constant |
| title_fullStr | A new order m – 1 rational integrator with an inhomogeneuous constant |
| title_full_unstemmed | A new order m – 1 rational integrator with an inhomogeneuous constant |
| title_short | A new order m – 1 rational integrator with an inhomogeneuous constant |
| title_sort | new order m 1 rational integrator with an inhomogeneuous constant |
| topic | Rational integrator Stiff Singular and oscillatory problems Stability function and region of absolute stability (RAS) AMS (2020) Subject Classification: 65L03, 65L10 |
| url | http://www.sciencedirect.com/science/article/pii/S2468227623000133 |
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