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dc.contributor.authorSingh, Udaya Pratapen_US
dc.date.accessioned2022-10-05T16:23:50Z
dc.date.available2022-10-05T16:23:50Z
dc.date.issued2022
dc.identifier.citationSingh, U. P. (2022). A new approach to find an approximate solution of linear initial value problems with high degree of accuracy. TWMS Journal Of Applied And Engineering Mathematics, 12(4), 1448-1458.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/4955
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/117-vol12no4/927
dc.description.abstractThis work investigates a new approach to find closed form solution to linear initial value problems (IVP). Classical Bernoulli polynomials have been used to derive a finite set of orthonormal polynomials and a finite operational matrix to simplify derivatives in IVP. These orthonormal polynomials together with the operational matrix of relevant order provides a robust approximation to the solution of a linear initial value problem by converting the IVP into a set of algebraic equations. Depending upon the nature of a problem, a polynomial of degree n or numerical approximation can be obtained. The technique has been demonstrated through four examples. In each example, obtained solution has been compared with available exact or numerical solution. High degree of accuracy has been observed in numerical values of solutions for considered problems.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectApproximate solutionen_US
dc.subjectBernoulli polynomialsen_US
dc.subjectInitial value problemsen_US
dc.subjectOrthonormal polynomialsen_US
dc.titleA new approach to find an approximate solution of linear initial value problems with high degree of accuracyen_US
dc.typeArticleen_US
dc.identifier.volume12
dc.identifier.issue4
dc.identifier.startpage1448
dc.identifier.endpage1458
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakMathScineten_US
dc.indekslendigikaynakScopusen_US


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