LINEAR MULTISTEP: PREDICTOR-CORRECTOR METHOD

HENOK, TENAW

dc.contributor.author	HENOK, TENAW
dc.date.accessioned	2017-08-03T10:19:27Z
dc.date.available	2017-08-03T10:19:27Z
dc.date.issued	2017-08-03
dc.identifier.uri	http://hdl.handle.net/123456789/7560
dc.description	A DISSERTATION Submitted in Partial Fulfilment ofthe Requirements for the Degree of Master of Science in Mathematics	en_US
dc.description.abstract	The aim of the report is to provide convenient predictor-corrector (P-C) methods for obtaining accurate numerical solution at a minimum cost to first order ordinary differential equations (ODE) with specified initial values. In pursuing this goal, a unified development of the most popular and efficient P-C methods are presented. The derivation of formulas and analysis of error propagation are included. Then each method is coded using computer language. The numerical results were obtained by subjecting each method to a wide variety of test ODE, using a maximum of two cor rector applications and a uniform series of step size values. By systematic comparison of the performance of each P-C method the most convenient P-C methods in terms of accuracy and minimum cost are established.	en_US
dc.subject	Mathematics	en_US
dc.title	LINEAR MULTISTEP: PREDICTOR-CORRECTOR METHOD	en_US
dc.type	Thesis	en_US