Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations.
The main aim of the study was to make a comparison between a combination of Newton's interpolation and language method with Runge Kutta second order method. The study was guided by objectives like identifying a simpler method of solving first-order differential equations given a combination of...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1750 |
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| author | Muligi, Amos |
| author_facet | Muligi, Amos |
| author_sort | Muligi, Amos |
| collection | KAB-DR |
| description | The main aim of the study was to make a comparison between a combination of Newton's interpolation and language method with Runge Kutta second order method. The study was guided by objectives like identifying a simpler method of solving first-order differential equations given a combination of Newton's interpolation and Lagrange and Runge-Kutta and identifying a method of solving first-order equations with increased accuracy given a combination of Newton's interpolation and Lagrange and Runge- Kutta. The method used to solve first-order differential equations were Newton's interpolation and Lagrange methods with Runge Kutta and Analytic method which gave the exact values of the solved first-order differential equations. The result showed that a combination of Newton's interpolation and Lagrange method gives a small absolute error and therefore efficient method for solving first-order differential equations. The numerical method used (Runge Kutta) is cumbersome and has a bigger percentage error. I therefore recommend the use of combined Newton's interpolation and Lagrange method to solve first Order Differential equations |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1750 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-17502024-06-12T12:49:57Z Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. Muligi, Amos Comparison Newton's Interpolation Lagrange Method Runge Kutt Method Solving First Order Differential Equations The main aim of the study was to make a comparison between a combination of Newton's interpolation and language method with Runge Kutta second order method. The study was guided by objectives like identifying a simpler method of solving first-order differential equations given a combination of Newton's interpolation and Lagrange and Runge-Kutta and identifying a method of solving first-order equations with increased accuracy given a combination of Newton's interpolation and Lagrange and Runge- Kutta. The method used to solve first-order differential equations were Newton's interpolation and Lagrange methods with Runge Kutta and Analytic method which gave the exact values of the solved first-order differential equations. The result showed that a combination of Newton's interpolation and Lagrange method gives a small absolute error and therefore efficient method for solving first-order differential equations. The numerical method used (Runge Kutta) is cumbersome and has a bigger percentage error. I therefore recommend the use of combined Newton's interpolation and Lagrange method to solve first Order Differential equations 2024-01-20T11:00:30Z 2024-01-20T11:00:30Z 2019 Thesis Muligi, Amos (2019). Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1750 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Comparison Newton's Interpolation Lagrange Method Runge Kutt Method Solving First Order Differential Equations Muligi, Amos Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title | Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title_full | Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title_fullStr | Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title_full_unstemmed | Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title_short | Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. |
| title_sort | comparison between newton s interpolation and lagrange method with runge kutt a method in solving first order differential equations |
| topic | Comparison Newton's Interpolation Lagrange Method Runge Kutt Method Solving First Order Differential Equations |
| url | http://hdl.handle.net/20.500.12493/1750 |
| work_keys_str_mv | AT muligiamos comparisonbetweennewtonsinterpolationandlagrangemethodwithrungekuttamethodinsolvingfirstorderdifferentialequations |