简介:Inthispaper,weestablishtheexistenceresultofsolutionandpositivesolutionfortwo-pointboundaryvalueproblemofasemilinearfractionaldifferentialequationbyusingtheLeray-Schauderfixed-pointtheorem.Thediscussionisbasedonthesystemofintegralequationsonaboundedregion.
简介:Inthispaper,weconsiderthefollowingproblem:Thequadraticsplinecollocation,withuniformmeshandthemid-knotpointsaretakenasthecollocationpointsforthisproblemisconsidered.Withsomeassumptions,wehaveprovedthatthesolutionofthequadraticsplinecollocationforthenonlinearproblemcanbewrittenasaseriesexpansionsinintegerpowersofthemesh-sizeparameter.ThisgivesusaconstructionmethodforusingRichardson’sextrapolation.Whenwehaveasetofapproximatesolutionwithdifferentmesh-sizeparameterasolutionwithhighaccuracycanheobtainedbyRichardson’sextrapolation.
简介:Aqualocationmethodforlinearsecond-ordertwo-pointboundary-valueproblemsisdeveloped.Theresultsareextendedthosein[2].Ontheotherhandithismethodcanalsoberegardedasadiscrete,versionoftheH1-Galerkinmethod.Fromthispoint,ourresultsshowthattheeffectofnumericalintegrationdoesnotdecreasetheorderofconvergence.
简介:Inthispaper,wediscusstheexistenceofsolutionofanonlineartwo-pointboundaryvalueproblemwithapositiveparameterQarisinginthestudyofsurfacetension-inducedflowsofaliquidmetalorsemiconductor.ByapplyingtheSchauder'sfixed-pointtheorem,weprovethattheproblemadmitsasolutionfor0≤Q≤14.306.Itimprovestheresultof0≤Q<1in[2]and0≤Q≤13.213in[3].
简介:Asystemofm(≥2)linearconvection-diffusiontwo-pointboundaryvalueproblemsisexamined,wherethediffusiontermineachequationismultipliedbyasmallparameterεandtheequationsarecoupledthroughtheirconvectiveandreactivetermsviamatricesBandArespectively.Thissystemisingeneralsingularlyperturbed.Unlikethecaseofasingleequation,itdoesnotsatisfyaconventionalmaximumprinci-ple.CertainhypothesesareplacedonthecouplingmatricesBandAthatensureexis-tenceanduniquenessofasolutiontothesystemandalsopermitboundarylayersinthecomponentsofthissolutionatonlyoneendpointofthedomain;thesehypothesescanberegardedasastrongformofdiagonaldominanceofB.Thissolutionisdecomposedintoasumofregularandlayercomponents.Boundsareestablishedonthesecompo-nentsandtheirderivativestoshowexplicitlytheirdependenceonthesmallparameterε.Finally,numericalmethodsconsistingofupwindingonpiecewise-uniformShishkinmeshesareprovedtoyieldnumericalsolutionsthatareessentiallyfirst-orderconver-gent,uniformlyinε,tothetruesolutioninthediscretemaximumnorm.NumericalresultsonShishkinmeshesarepresentedtosupportthesetheoreticalbounds.
简介:Inthispaper,ahighaccuracyfinitevolumeelementmethodispresentedfortwo-pointboundaryvalueproblemofsecondorderordinarydifferentialequation,whichdiffersfromthehighordergeneralizeddifferencemethods.Itisprovedthatthemethodhasoptimalorderer-rorestimateO(h3)inH1norm.Finally,twoexamplesshowthatthemethodiseffective.
简介:在这份报纸,我们在场深水里的一个点波浪吸收器的全面数字模拟。分析在频率和时间领域被执行。变换器与在举方向的自由的一度是一个二身体的浮点吸收器(FPA)。它的二部分被一个线性mass-spring-damper系统连接。在这研究使用的商业ANSYS-AQWA软件表现很好在考虑确认。速度潜力被假定不可压缩、无旋的流动获得。因此,我们在精力变换和设备效率上调查了波浪特征的效果,包括波浪高度和波浪时期,以及设备直径,草稿,几何学,和抑制系数。验证模型,我们从类似的实验把我们的数字结果与那些作比较。当考虑特定的条件时,我们的学习结果能清楚地帮助最大化变换器效率。
简介:BasedonageneralanalysisofGreenfunctionsinthereal-timethermalfieldtheory,wehaveproventhatthefour-pointamputatedfunctionsinanNJLmodelinthefermionbubblediagramapproximationbehavelikeusualtwo-pointfunctions.WeexpoundthethermaltransformationsofthematrixpropagatorsforascalarboundstateintheFFbasisandintheRAbasisrespectively.Theresultingphysicalcausal,advancedandretardedpropagatorsarerespectivelyidenticaltocorrespondingonesderivedintheimaginary-timeformalism,andthisshowsonceagainthecompleteequivalenceofthetwoformalismsofthermalfieldtheoryonthediscussedproblemintheNJLmodel.
简介:Pointabsorberwaveenergydevicewithmultipledegreesoffreedom(DOF)isassumedtohaveabetterabsorptionabilityofmechanicalenergyfromoceanwaves.Inthispaper,acoaxialsymmetricarticulatedpointabsorberwaveenergyconverterwithtwodegreesoffreedomispresented.Themechanicalequationsoftheoscillationbuoywithpowertake-offmechanism(PTO)inregularwavesareestablished.Thethree-dimensionalnumericalwavetankisbuiltinconsiderationofthebuoymotionbasedupontheCFDmethod.Theappropriatesimulationelementsareselectedforthebuoyandwaveparameters.ThefeasibilityoftheCFDmethodisverifiedthroughthecontrastbetweenthenumericalsimulationresultsoftypicalwaveconditionsandtestresults.Insuchcase,thebuoywithsingleDOFofheave,pitchandtheircouplingmotionconsideringfree(noPTOdamping)anddampedoscillationsinregularwavesaresimulatedbyusingtheverifiedCFDmethodrespectively.Thehydrodynamicandwaveenergyconversioncharacteristicswithtypicalwaveconditionsareanalyzed.Thenumericalresultsshowthattheheaveandpitchcanaffecteachotherinthebuoycouplingmotion,hydrodynamicloads,waveenergyabsorptionandflowfield.ThetotalcapturewidthratiowithtwocoupledDOFmotionishigherthanthatwithasingleDOFmotion.ThewaveenergyconversionofacertainDOFmotionmaybehigherthanthatofthesinglecertainDOFmotioneventhoughthewaveisattheresonanceperiod.Whenthewaveperiodsarehighenough,theinteractionbetweenthecoupledDOFmotionscanbeneglected.
简介:Anewmethodforpoint-polygonclassificationispresentedinthepaper.Thebasicideaofthemethodisfirstadvancedandthentwopropertiesofpolygonareintroduced.Thecriterionsforpoint-polygonclassificationaregivenexplicitly.Theanalysisshowsthatthepossessesperfectfunction,extensivesuitabilityandhighefficiency.