A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method
This study established the numerical RKM approach for solving linear two-point boundary value problems involving fourth-order ordinary differential equations. However, the proposed developed numerical RKM method has been tested using some implementations in order to compare it with the exact soluti...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2025-01-01
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| Series: | Academic Science Journal |
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| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/633 |
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| author | Mohammed S. Mechee F. A. Fawzi Shaymaa Mahmoud Abdullah |
| author_facet | Mohammed S. Mechee F. A. Fawzi Shaymaa Mahmoud Abdullah |
| author_sort | Mohammed S. Mechee |
| collection | DOAJ |
| description |
This study established the numerical RKM approach for solving linear two-point boundary
value problems involving fourth-order ordinary differential equations. However, the proposed
developed numerical RKM method has been tested using some implementations in order to
compare it with the exact solutions to establish the method's validity. Furthermore, this
comparison demonstrates that the proposed direct integrator is more efficient than the indirect
method in terms of efficiency and accuracy. In addition, numerical implementations are used
in order to show the efficiency and time-based complexity of function evaluations. This direct
method's suggested strategy, which has wonderful qualities like quick and efficient calculation,
also requires fewer computational employees.
|
| format | Article |
| id | doaj-art-d0070319e23b48e9815ded380f9687d6 |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-d0070319e23b48e9815ded380f9687d62025-02-04T04:26:32ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682025-01-013110.24237/ASJ.03.01.831CA Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM MethodMohammed S. Mechee0F. A. Fawzi 1Shaymaa Mahmoud Abdullah2Information Technology Research and Development Center (ITRDC), University of Kufa, Najaf, IraqDepartment of Mathematics, Faculty of Computer Science and Mathematics, Tikrit University Salahaddin, IraqDepartment of Mathematics, Faculty of Computer Science and Mathematics, Tikrit University Salahaddin, Iraq This study established the numerical RKM approach for solving linear two-point boundary value problems involving fourth-order ordinary differential equations. However, the proposed developed numerical RKM method has been tested using some implementations in order to compare it with the exact solutions to establish the method's validity. Furthermore, this comparison demonstrates that the proposed direct integrator is more efficient than the indirect method in terms of efficiency and accuracy. In addition, numerical implementations are used in order to show the efficiency and time-based complexity of function evaluations. This direct method's suggested strategy, which has wonderful qualities like quick and efficient calculation, also requires fewer computational employees. https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/633RKM, Ordinary Differential Equations; Boundary Value Problems, Order, DEs, ODEs. |
| spellingShingle | Mohammed S. Mechee F. A. Fawzi Shaymaa Mahmoud Abdullah A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method Academic Science Journal RKM, Ordinary Differential Equations; Boundary Value Problems, Order, DEs, ODEs. |
| title | A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method |
| title_full | A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method |
| title_fullStr | A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method |
| title_full_unstemmed | A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method |
| title_short | A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method |
| title_sort | numerical study of linear two points boundary value problems with odes of fourth order using rkm method |
| topic | RKM, Ordinary Differential Equations; Boundary Value Problems, Order, DEs, ODEs. |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/633 |
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