An Efficient Algorithm based on the Cubic Spline for the Solution of Bratu-Type Equation

被引：7
|
作者：
Al-Towaiq, M. [1 ]
Ala'yed, Osama [1 ]
机构：
[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan
来源：
JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2014年 / 17卷 / 5-6期
关键词：
Bratu-Type Equation; Cubic Spline; Finite Difference; Differential Equations;
D O I：
10.1080/09720502.2013.842050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose an algorithm using the cubic spline interpolation on the finite difference method to solve the Bratu-type equation. The algorithm has been successfully implemented. Numerical results are also given to demonstrate the validity and the applicability of the proposed algorithm. The results we obtained show that the proposed algorithm perform better than some existing methods in the literature.
引用
收藏
页码：471 / 484
页数：14
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