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A NEW NUMERICAL APPROACH FOR SOLVING HIGH-ORDER LINEAR AND NON-LINEAR DIFFERANTIAL EQUATIONS

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dc.contributor.authorSecer, Aydin
dc.contributor.authorAltun, Selvi
dc.date.accessioned2026-06-27T14:10:24Z
dc.date.issued2018
dc.description.abstractIn this paper, the Legendre wavelet operational matrix method has been introduced for solving high-order linear and non-linear multi-point: initial and boundary value problems. It has been suggested that the technique is rest upon practical application of the operational matrix and its derivatives. The differential equation is presented that it is converted to a system of algebraic equations via the properties of Legendre wavelet together with the operational matrix method As a result of this study, the scheme has been tested on five linear and non-linear problems. The results have demonstrated that this method is a very effective and advantageous tool in solving such problems.en
dc.description.urihttps://doi.org/10.2298/tsci170612272s
dc.identifier.doi10.2298/tsci170612272s
dc.identifier.eissn2334-7163
dc.identifier.endpageS77
dc.identifier.issn0354-9836
dc.identifier.startpageS67
dc.identifier.urihttps://hdl.handle.net/20.500.14981/57537
dc.identifier.volume22
dc.identifier.wos000431094700009
dc.language.isoeng
dc.publisherVINCA INST NUCLEAR SCI
dc.relation.ispartofTHERMAL SCIENCE
dc.rightsopenAccess
dc.subjectshifted Legendre polynomials
dc.subjectLegendre wavelet
dc.subjectoperational matrix
dc.subjecthigh-order differential equations
dc.subjectBOUNDARY-VALUE-PROBLEMS
dc.subjectDISTRIBUTED-PARAMETER-SYSTEMS
dc.subjectWAVELETS OPERATIONAL MATRIX
dc.subjectDIFFERENTIAL-EQUATIONS
dc.subjectORTHOGONAL POLYNOMIALS
dc.subjectINTEGRATION
dc.subjectThermodynamics
dc.titleA NEW NUMERICAL APPROACH FOR SOLVING HIGH-ORDER LINEAR AND NON-LINEAR DIFFERANTIAL EQUATIONS
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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