Browsing by Author "Muligi, Amos"

Now showing 1 - 1 of 1
  • Thumbnail Image
    ItemRestricted
    Comparison Between Newton's Interpolation and Lagrange Method with Runge Kutt a Method in Solving First Order Differential Equations.
    (Kabale University, 2019) Muligi, Amos
    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