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(xué)碩士學(xué)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(qǐng)學(xué)位級(jí)別：碩士專業(yè)：計(jì)算數(shù)學(xué)指導(dǎo)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