A Third Order Euler Method for Solving Ordinary Differential Equations Using Numerical Method

MOHAMMED, SEID MUHIE

dc.contributor.author	MOHAMMED, SEID MUHIE
dc.date.accessioned	2017-08-18T03:30:46Z
dc.date.available	2017-08-18T03:30:46Z
dc.date.issued	2017-08-18
dc.identifier.uri	http://hdl.handle.net/123456789/7765
dc.description	A dissertation Submitted to the Department of Mathematics presented in partial fulfillment of the Requirements for the Degree of Master of Science in Mathematics	en_US
dc.description.abstract	The purpose of this project is to propose a great deal of interest to improve the Euler methods of solving initial value problems in ordinary differential equations because of its easy implementation and low computational cost. In this report the absolute stability and convergence of third order Euler method is discussed. Furthermore, algorithms to some numerical experiments have been given to demonstrate the conclusions. The computation al results show that the method is consistent accurate and convergent of order 3. Succinct overviews of its basic properties necessary for the selection of a good numerical method in the development of program codes are also presented. Finally, the results are presented by using graphs.	en_US
dc.subject	Mathematics	en_US
dc.title	A Third Order Euler Method for Solving Ordinary Differential Equations Using Numerical Method	en_US
dc.type	Thesis	en_US