Muligi, Amos2024-01-202024-01-202019Muligi, 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/20.500.12493/1750The 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 equationsen-USAttribution-NonCommercial-NoDerivs 3.0 United StatesComparisonNewton's InterpolationLagrange MethodRunge KuttMethodSolvingFirst OrderDifferential EquationsThesis