SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS,USING PREDICTOR - CORRECTOR METHODS

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dc.contributor.authorAWOYEMI, DAVID ONI OLASEINDE
dc.date.accessioned2014-02-11T10:30:10Z
dc.date.available2014-02-11T10:30:10Z
dc.date.issued1987
dc.descriptionA thesis submitted to the Post—Graduate School, Ahmadu Bello university, Zaria in partial fulfilment of the requirements for the: degree of Master of Science (M.Sc.) in Mathematics.en_US
dc.description.abstractin this project, two classes of second order ordinary differential equations, y = f(x,y,y' ) with i n i t i a l conditions y(x 0 ) = y0 ,y (x 0) = y'0 and y = f(x,y) with y(x0)= yo, y' (X0) = y'0 were solved directly or as a system of two first order equations using the classical methods of Euler, Runge-Kutta, Adams-Moulton, Milne, Numerov and Taylor. Comparison of the methods and analysis of results were made. It was discovered that for the system ' y = f ( x , y , y ' ), Milne's method is better than Adams-Moulton's method in terms of numerical accuracies, execution times and memory allocations for all the step-sizes H considered, while Taylor series methods are found unsuitable for the t e s t problem and similar problems. For the system y' = f(x,y), however, Numerov's method is better than Milne's method, which in turn is still better than Adams-Moulton's method also in terms of numerical accuracies, execution times and memory allocations for all our H especially in problems where y K+1 can be made a subject in the Numerov's formula. Here, Taylor series method is found completely unsuitable for the test problem and similar problems.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/1139
dc.language.isoenen_US
dc.subjectSOLUTIONen_US
dc.subjectSECONDen_US
dc.subjectORDERen_US
dc.subjectORDINARen_US
dc.subjectDIFFERENTIALen_US
dc.subjectEQUATIONSen_US
dc.subject,USINGen_US
dc.subjectPREDICTORen_US
dc.subjectCORRECTORen_US
dc.subjectMETHODSen_US
dc.titleSOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS,USING PREDICTOR - CORRECTOR METHODSen_US
dc.typeThesisen_US
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