Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind

被引：5
|
作者：
Biazar, Jafar [1 ]
Montazeri, Roya [2 ,3 ]
机构：
[1] Univ Guilan, Fac Math Sci, Dept Appl Math, POB 41635-19141, Rasht 41938336997, Iran
[2] Univ Guilan, Dept Appl Math, POB 41635-19141,Univ Campus 2, Rasht 41938336997, Iran
[3] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran
来源：
JOURNAL OF APPLIED MATHEMATICS | 2019年 / 2019卷
关键词：
24;
D O I：
10.1155/2019/3037273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, optimal homotopy asymptotic method (OHAM) and its implementation on subinterval, called multistage optimal homotopy asymptotic method (MOHAM), are presented for solving linear and nonlinear systems of Volterra integral equations of the second kind. To illustrate these approaches two examples are presented. The results confirm the efficiency and ability of these methods for such equations. The results will be compared to find out which method is more accurate. Advantages of applying MOHAM are also illustrated.
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页数：17
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