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1、LópezMATLABDifferentialEquationsMATLABisahigh-levellanguageandenvironmentfornumericalcomputation,visualization,andprogramming.UsingMATLAB,youcananalyzedata,developalgorithms,andcreatemodelsandapplications.Thelanguage,tools,andbuilt-inmathfunctionsenableyoutoexploremultipleapproac

2、hesandreachasolutionfasterthanwithspreadsheetsortraditionalprogramminglanguages,MATLABDifferentialEquationssuchasC/C++orJava.MATLABDifferentialEquationsintroducesyoutotheMATLABlanguagewithpracticalhands-oninstructionsandresults,allowingyoutoquicklyachieveyourgoals.Inadditiontogiv

3、inganintro-ductiontotheMATLABenvironmentandMATLABprogramming,thisbookprovidesallthemate-rialneededtoworkondifferentialequationsusingMATLAB.Itincludestechniquesforsolvingordinaryandpartialdifferentialequationsofvariouskinds,andsystemsofsuchequations,eithersymbolicallyorusingnumeri

4、calmethods(Euler’smethod,Heun’smethod,theTaylorseriesmethod,theRunge–Kuttamethod,…).ItalsodescribeshowtoimplementmathematicaltoolssuchastheLaplacetransform,orthogonalpolynomials,andspecialfunctions(AiryandBesselfunctions),andfindsolutionsoffinitedifferenceequations.·Learnhowtouse

5、theMATLABenvironment·ProgramtheMATLABlanguagefromfirstprinciples·Solveordinaryandpartialdifferentialequationsbothsymbolicallyandnumerically·Graphthesolutionstoyourwork·Solvefinitedifferenceequationsandgeneralrecurrenceequations·UnderstandhowMATLABcanbeusedtoinvestigateconvergence

6、ofsequencesandseriesandanalyticalpropertiesoffunctions,withworkingexamplesISBN978-1-4842-0311-854999ShelveinApplications/Mathematical&9781484203118StatisticalSoftwarewww.it-ebooks.infoForyourconvenienceApresshasplacedsomeofthefrontmattermaterialaftertheindex.PleaseusetheBookmarks

7、andContentsataGlancelinkstoaccessthem.www.it-ebooks.infoContentsataGlanceAbouttheAuthor?????????????????????????????????????????????????????????????????????????????????????????????????????????????????ix■Chapter1:IntroducingMATLABandtheMATLABWorkingEnvironment?????????????????????

8、????????????????1■Chapter2:FirstOrderDif