An accelerated iterative technique for solving mixed Fredholm-Volterra integral equations

被引：0
|
作者：
Attia, A. G. [1 ,3 ]
El-kalla, I. L. [3 ]
Elsaid, A. [2 ,3 ]
Abd El-Monem, R. A. [3 ]
机构：
[1] Higher Future Inst Engn & Technol, Dept Math & Basic Sci, Talkha, Egypt
[2] Egypt Japan Univ Sci & Technol E JUST, Inst Basic & Appl Sci, Dept Math, Alexandria, Egypt
[3] Mansoura Univ, Fac Engn, Dept Phys & Engn Math, Mansoura, Egypt
来源：
AIN SHAMS ENGINEERING JOURNAL | 2024年 / 15卷 / 06期
关键词：
Mixed Fredholm-Volterra integral equations; Multi-grid iterative technique; Accelerated numerical treatment; Convergence analysis; FRACTIONAL WAVE-EQUATION; BERNSTEIN POLYNOMIALS; APPROXIMATE SOLUTION; NUMERICAL-SOLUTION; CONVERGENCE; SPREAD;
D O I：
10.1016/j.asej.2024.102755
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we propose an accelerated numerical technique for solving mixed Fredholm-Volterra integral equations (MFVIEs). The MFVIE is solved using the two-grid iterative technique, which uses a small system of equations to reach higher accuracy. The convergence analysis showed that using this technique reduces computational costs by 85% compared with the direct method. We introduce an algorithm to implement this method and numerical simulations are presented to verify the accuracy rate of the theoretical analysis.
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页数：8
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