1、單位代碼10445學(xué)號(hào)2011020730分類號(hào)O241.8研究生類別全日制山東師范大學(xué)碩士學(xué)位論文論文題目一類分?jǐn)?shù)階微分方程的數(shù)值模擬學(xué)科專業(yè)名稱計(jì)算數(shù)學(xué)申請(qǐng)人姓名高靜指導(dǎo)教師陳煥貞教授論文提交時(shí)間2014年4月10日目錄中文摘要......................................................................1英文摘要.............................

2、.........................................3第一章緒論...................................................................6第二章求解時(shí)間分?jǐn)?shù)階二維擴(kuò)散方程的交替方向隱式法...................72.1引言........................................................

3、.........102.2交替方向隱式格式..................................................112.3穩(wěn)定性分析..........................................................132.4收斂性分析..........................................................152.5數(shù)值算例...

4、.........................................................18第三章空間分?jǐn)?shù)階擴(kuò)散方程的間斷有限元快速算法.......................213.1引言.................................................................213.2預(yù)備知識(shí)...................................

5、.........................213.3分?jǐn)?shù)階間斷有限元變分形式.........................................223.4離散分?jǐn)?shù)階間斷有限元格式.........................................293.5間斷有限元方法的快速算法.........................................333.6誤差分析............

6、................................................393.7數(shù)值算例............................................................41參考文獻(xiàn)......................................................................44攻讀學(xué)位期間發(fā)表的學(xué)術(shù)論文............