DEVELOPMENT AND ANALYSIS OF NEW ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONS

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dc.contributor.authorMUHAMMAD, SHAKUR NDAYAWO
dc.date.accessioned2015-03-05T10:43:05Z
dc.date.available2015-03-05T10:43:05Z
dc.date.issued2014-08
dc.descriptionA THESIS SUBMITTED TO THE SCHOOL OF POSTGRADUATE STUDIES, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA IN PARTIAL FULFILMENT OF THE REQUIREMENT FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS. DEPARTMENT OF MATHEMATICS, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA AUGUST, 2014en_US
dc.description.abstractIn this thesis, we have developed two new iterative schemes for solving nonlinear equations. The two schemes have been constructed from Taylor’s series expansion and Adomian decomposition method. The two schemes have been compared with other existing iterative methods using one way analysis of variance (ANOVA). They are found to be efficient and better than some of the existing schemes. The results show that Newton-Raphson method and New scheme 1 have more advantage with a maximum of seven iterations each, while new scheme 2 has nine. Basto et al. and Abbasbany have equal number of thirteen iterations each. The Adomian has sixteen iterations. Thirty numerical examples are given and solved to justify the efficiency of the new iterative schemes.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/6104
dc.language.isoenen_US
dc.subjectDEVELOPMENTen_US
dc.subjectANALYSISen_US
dc.subjectITERATIVEen_US
dc.subjectSCHEMESen_US
dc.subjectNONLINEAR EQUATIONSen_US
dc.titleDEVELOPMENT AND ANALYSIS OF NEW ITERATIVE SCHEMES FOR SOLVING NONLINEAR EQUATIONSen_US
dc.typeThesisen_US
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