Fixed point theorem on volterra integral equation

被引:0
|
作者
Sihombing, S. C. [1 ]
Lia, L. [1 ]
机构
[1] Univ PGRI Palembang, Fac Math & Sci, Palembang 30263, Indonesia
关键词
ORDERED METRIC-SPACES;
D O I
10.1088/1742-6596/1375/1/012064
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper discussed the fixed-point theorem in the metric space and its application to the second linear volterra integral equation. This research is done by first studying the concept of metric space and its properties. Then, we studied the application on the second linear volterra integral equation. After obtaining sufficient condition to converge second linear integral volterra equation, we solved the equation by Fixed Point iteration method using Matlab R2013a software. The solution obtained was compared with the exact solution. The results of this study indicate that the numerical solution is quite good.
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页数:7
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