Open AccessON NUMEROV METHOD FOR SOLVING FOURTH ORDER ORDINARY DIFFERENTIAL EQUATIONS
Author(s) -
Abdulrahman Ndanusa,
Kayode Rufus Adeboye,
Aliyu Umar Mustapha,
R. Abdullahi
Publication year - 2021
Publication title -
fudma journal of sciences
Language(s) - English
Resource type - Journals
ISSN - 2616-1370
DOI - 10.33003/fjs-2020-0404-493
Subject(s) - ode , ordinary differential equation , mathematics , boundary value problem , differential equation , initial value problem , examples of differential equations , integrating factor , differential algebraic equation , mathematical analysis , work (physics) , exact differential equation , l stability , physics , thermodynamics
In this work, a fourth order ODE of the form is transformed into a system of differential equations that is suitable for solution by means of Numerov method. The obtained solutions are compared with the exact solutions, and are shown to be very effective in solving both initial and boundary value problems in ordinary differential equations.