Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations.

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dc.contributor.authorMuligi, Amos
dc.date.accessioned2024-01-20T11:00:30Z
dc.date.available2024-01-20T11:00:30Z
dc.date.issued2019
dc.description.abstractThe 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
dc.identifier.citationMuligi, Amos (2019). Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations. Kabale: Kabale University.
dc.identifier.urihttp://hdl.handle.net/20.500.12493/1750
dc.language.isoen_US
dc.publisherKabale University
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United Statesen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectComparison
dc.subjectNewton's Interpolation
dc.subjectLagrange Method
dc.subjectRunge Kutt
dc.subjectMethod
dc.subjectSolving
dc.subjectFirst Order
dc.subjectDifferential Equations
dc.titleComparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations.
dc.typeThesis

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