SOME APPLICATIONS OF RUNGE-KUTTA METHODS

WUDNEH, TILAHUN

dc.contributor.author	WUDNEH, TILAHUN
dc.date.accessioned	2017-08-29T03:44:46Z
dc.date.available	2017-08-29T03:44:46Z
dc.date.issued	2017-08-29
dc.identifier.uri	http://hdl.handle.net/123456789/7850
dc.description	A DISSERTATION Submitted in Partial Fulfilment of the Requirements for the Degree of Master of Science in Mathematics	en_US
dc.description.abstract	In this report we discussed dbout methods of Runge-Kutta in arbitrary second and fourth order ordinary differential equations and system of first order ordinary differential equations with its application. The report is divided in to three chapters; the first chapter includes introduction and preliminaries which are used for our subsequent discussion of the next two chapters. In the second chapter; the derivation of second order Runge-Kutta formulas, higher order Runge-Kuutta formulas, second order differential equations are discussed thoroughly; And in the third chapter; some applications of Runge-Kutta Methods are discussed. Runge-Kutta methods have many applications including the numerical solution of the non linear pendulum and impulsive forces. In this report, the non linear damped pendulum and impulsive force equation has been solved using Runge-Kutta methods.	en_US
dc.subject	Mathematics	en_US
dc.title	SOME APPLICATIONS OF RUNGE-KUTTA METHODS	en_US
dc.type	Thesis	en_US