COMPARATIVE STUDY ON INITIAL VALUE PROBLEMS (IVP) FOR ORDINARY DIFFERENTIAL EQUATIONS (ODE) WITH EULER’S MODIFIED, PICARD’S AND RUNGE-KUTTA METHODS
Abstract
This project presents different numerical methods for the solution of ordinary differential
equations. We considered the first order differential equation
dy
dx
= 1 − y, with the initial
conditions y(0) = 0 and observed that Runge-Kutta Method of order 4 was a more accurate
method to the solution. Also, we considered another equation
dy
dx
+
y
10
= e
−x
10 cos x ,with
the initial conditions y(0) = 0 and observed that Picard’s Method was a more accurate
method to the solution.
Full-Text Access Notice
In accordance with the NERD Policy on promoting peer-reviewed publication, public access to the full text of a project, thesis or dissertation is restricted for three years, allowing the author and supervisors sufficient time to pursue peer-reviewed publication.
During this period, researchers with legitimate academic or research purposes may request authorisation directly from the author to enable NERD to release the indexed full texts of the work using the form below.