二维弱奇异Volterra型积分方程的谱配置法  

Spectral Collocation Methods for Two-dimensionalWeakly Singular Volterra Integral Equations

作　　者：施秀莲 杨霞[2] SHI Xiulian;YANG Xia(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing,Guangdong 526061;General Education Department,Sontian College of Guangzhou University,Guangzhou,Guangdong 511370,China)

机构地区：[1]肇庆学院数学与统计学院,广东肇庆526061 [2]广州大学松田学院通识教学部,广东广州511370

出　　处：《肇庆学院学报》2020年第5期43-49,共7页Journal of Zhaoqing University

基　　金：广东省自然科学基金项目(2018A030313536);肇庆市科技创新指导类项目(201804031504);肇庆学院博士启动项目(221021)。

摘　　要：研究了二维线性弱奇异Volterra型积分方程的谱配置法,在方程解充分光滑的情形下,对所提出的谱方法进行了收敛性分析.给出的数值例子表明,谱配置法在L∞范数和带权L2范数意义下均具有指数收敛性.A Jacobi spectral collocation method is investigated for two dimensional weakly singular Volterra integral equations.When the underlying solution of equations is sufficiently smooth,the convergence analysis for the proposed spectral method is carried out.The provided numerical example show that the Jacobi spectral collocation method converges exponentially both in the L∞-norm and weighted L2-norm.

关 键 词：弱奇异Volterra型积分方程 谱配置法 指数收敛性 

分 类 号：O241.8[理学—计算数学]