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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
