一類帶弱奇異核的積分微分方程的正交樣條配置方法.pdf

1、湖南師范大學碩士學位論文一類帶弱奇異核的積分微分方程的正交樣條配置方法姓名：羅曉梅申請學位級別：碩士專業(yè)：計算數學指導教師：徐大20090301ABSTRACTTheintegrodifferentialequationofparabolictypeoftenoccursinapplicationsuchasheatconductioninmaterialwithmemorycompressionofporo_viscoelasticm

2、edia，populationdynamics，nuclearreactordynamics，etctherearelotsofdocumentsofVThomde[7，19，22，27，28，29]，WMclean[27，28。29]，ChLubich[19]，LWahlbin[7，22，29]，GraemeFairweather[4，11，12，13，31，43，44]inoverseasandChuanmiaoChen[7]，Ta

3、ngTao[35]，ChuanjuXu[20]，SunZhizhong【34]，XuDa[37—42]inhomeAlotofthemuseFEM：finitedifferencemethods；spectralcollocationmethods；splinecollocationmethod8Butafewofthemmakeglobalbehavioroffulldiscretizationbyorthogonalsplineco

4、llocationmethOdsWestudyapartialintegroldifferentiMequationsofparabolictypewithaweaklysingularkernel，usingorthogonalsplinecollocationmethodsderivedstabilitiesanderrorestimatedrespectivelyMainresultsasfollows：(1)Giventhest

5、abilityerrorestimateoftimesemi—discretizationEulermethodsforthelinearequation；(2)Giventhestabilityanderrorestimateoffulldiscretizationforthebasedontheorthogonalsplinemethodsforthelinearequation(3)NumericalexperimentsKeyw