Fibonacciwaveletmethodforthenumericalsolutionofafractional relaxation–oscillationmodel

dc.contributor.authorJahan, Shah
dc.date.accessioned2026-03-11T06:24:28Z
dc.date.available2026-03-11T06:24:28Z
dc.date.issued2025
dc.description.abstractIn this paper,wehavediscussed theFibonacciwavelet (FW) framework for numerical simulations of the fractionalrelaxation–oscillationmodel(FROM).Firstly,thefractionalorderoperationalmatricesofintegration associatedwiththeFWareconstructedviatheblockpulsefunctions.Theoperationalmatricesmergedwiththe collocationmethodareusedtoconvertthegivenproblemintoasystemofalgebraicequationsthatissolvedby theNewtonmethod.Weconducterroranalysis,performnumericalsimulations,andpresentthecorresponding resultstoestablishthecredibilityandpracticalapplicabilityoftheproposedtechnique.Numericalexamplesare providedtoshowtheefficiencyofourapproach.Toshowtheaccuracyof theFW-basednumerical technique, theapproximatesolutionsofFROMarecomparedwiththeexact solutionandotherexistingmethods.This researchopensupnewpossibilities forusingFWas apowerful tool for addressingcomplexmathematical problems inreal-worldsystems.
dc.identifier.urihttp://cuh.ndl.gov.in/handle/123456789/1746
dc.language.isoen
dc.titleFibonacciwaveletmethodforthenumericalsolutionofafractional relaxation–oscillationmodel
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