Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel

被引：44

作者：

Zhang, Haixiang ^{[1
]}

Han, Xuli ^{[1
]}

Yang, Xuehua ^{[2
]}

机构：

[1] Cent South Univ, Sch Math, Changsha 410083, Peoples R China

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Quintic B-spline; Integro-differential equation; Weakly singular kernel; Collocation method; Backward differential formula; FINITE-ELEMENT METHODS; NUMERICAL-SOLUTION; GALERKIN METHOD; RLW EQUATION; DISCRETIZATION; SCHEME; TIME; APPROXIMATIONS;

D O I：

10.1016/j.amc.2013.01.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quintic B-spline collocation method for the numerical solution of fourth order partial integro-differential equations is considered. The scheme is based on the second order backward differential formula in the time direction and the quintic B-spline method for the spatial derivative. Some numerical experiments are included to demonstrate the effectiveness of the discrete technique. From the numerical experiments, we can find that the present scheme possesses high accuracy and efficiency, and the numerical results are in good agreement with the exact solutions. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：6565 / 6575

页数：11

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