Using Chebyshev Polynomial to economize the approximation of some one-step method

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dc.contributor.authorAdeyeye, Fola
dc.contributor.authorOpeyemi, Enoch
dc.date.accessioned2021-05-12T09:53:11Z
dc.date.available2021-05-12T09:53:11Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractChebyshev polynomial crop up in virtually every area of Numerical analysis and they hold particular importance in recent advancement in subject such as Orthogonal. In this paper, we present the classical theory of Chebyshev polynomial starting from the definition and generation of the family of both the 1st, the 2nd kind and the complex classical polynomial of Chebyshev polynomial, which are related to their real and imaginary parts. This permit one to develop the theory of a class of Orthogonal polynomial that are that basis for fitting non-algebraic function with polynomial of maximum efficiency. The generated series polynomial is use to Economize the approximation of some One-step methods such as RKMII and Runge-kutta-Feldberg method. An Economic table that represent the operation at various states of mesh point is shown.en_US
dc.description.sponsorshipKampala International University, Uganda., Federal University Oye, Nigeria.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11835
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectOne-stap method (RKMII)en_US
dc.subjectEconomize seriesen_US
dc.subjectChebyshev polynomialen_US
dc.titleUsing Chebyshev Polynomial to economize the approximation of some one-step methoden_US
dc.typeArticleen_US
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