USING EULER'S METHOD TO APPROACH THE SOLUTION OF A FIRST-ORDER DIFFERENTIAL EQUATION

SHAQIRI, Mirlinda and KAMBERI, Lazim and BAJRAMI, Merita (2022) USING EULER'S METHOD TO APPROACH THE SOLUTION OF A FIRST-ORDER DIFFERENTIAL EQUATION. Journal of Natural Sciences and Mathematics of UT, 7 (13-14). pp. 140-142. ISSN 2671-3039

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Abstract

The objective of studying this paper is the use of Euler's method to approach the solution of a first-order differential equation at the interval between x_0 and x_F. Euler's method was the most fundamental and simplest of procedures used to find approximate numerical solutions of a ordinary first-order differential equation, provided his initial value is known. In Euler’s method, we can approximate the curve of the solution by the tangent in each interval (that is, by sequence of short line segment) at steps of h. In general, if we use small step size, the accuracy of approximation increases.

Item Type:	Article
Uncontrolled Keywords:	step h, approximate value, the Euler’s method
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	31 Oct 2022 13:15
Last Modified:	31 Oct 2022 13:15
URI:	http://eprints.unite.edu.mk/id/eprint/1069

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