Appendix A Computer Programs

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1、AppendixAComputerProgramsMATLABA.M.1:CommonMATLABcommandsformatricesA.M.2:CommonMATLABcommandsforpolynomialsA.M.3:ProgramsforrootsolvingA.M.4:SolutionofasystemoflinearequationsA.M.5:InterpolationandcurvefittingA.M.6:Solutionofordinarydifferentialequations

2、FORTRANA.F.1:GaussianeliminationmethodforatridiagonalsystemoflinearequationsA.F.2:Gauss-SeideliterativemethodforsolvingasystemoflinearequationsA.F.3:SecantmethodforfindingtherootsofanalgebraicequationA.F.4:Newton-Raphsonmethodforfindingtherealrootsofanalg

3、ebraicequationA.F.5:Successiveover-relaxationmethodfortheLaplaceequationA.F.6:SuccessivesubstitutionmethodforsolvingthesystemofnonlinearalgebraicequationsinExample4.6ANOTEONTHECOMPUTERPROGRAMSThisappendixpresentsseveralcomputerprogramsthatarecommonlyusedf

4、orthenumericalmodelingandsimulationofthermalsystemsandprocesses.Thenumericalmethodscoveredhereincludethoseforcurvefitting,solutionofasys-temoflinearequations,rootsolving,solutionofordinarydifferentialequations,andsolutionofasystemofnonlinearequations.Deta

5、ilsonthemethodsusedaregiveninChapter3andChapter4,aswellasinreferencescitedtherein.TheprogramsarewrittenforMATLAB,whichhasbecomethemostfre-quentlyusedsoftwareforsolvingmathematicalequationsthatariseinscientificandengineeringproblems,andinFortran,whichwaspr

6、obablythemostcommonprogramminglanguageusedinengineeringapplicationsinthepastandwhichcontinuestobeimportanteventoday.TheFortranprogramshavebeencompiledandexecutedonaUnix-basedcomputersystemandmayeasilybemodifiedforotherprogramminglanguagesandcomputersystem

7、s.AfewMATLABcommandswerediscussedinChapter3andChapter4,andseveralreferencesfornumerical639©2008byTaylor&FrancisGroup,LLC640DesignandOptimizationofThermalSystemsanalysisandcomputersolutionsweregiven.AdditionalMATLABcommandsandprogramsaregivenhere.Theresult

8、sobtainedfromsomeoftheprogramsgiveninthisappendixarediscussedinthetext.Themainpurposeofpresentingthesecom-puterprogramsistoprovidereadyaccesstoafewimportantandsimpleprogramsthatmaybeusedforobtaininginputsnecessaryfo