Analytical Solution of System of Volterra Integral Equations Using OHAM

被引：6

作者：

Akbar, Muhammad ^{[1
]}

Nawaz, Rashid ^{[1
]}

Ahsan, Sumbal ^{[1
]}

Baleanu, Dumitru ^{[2
,3
,4
]}

Nisar, Kottakkaran Sooppy ^{[5
]}

机构：

[1] Abdul Wali Khan Univ Mardan, Dept Math, Mardan, Khyber Pakhtunk, Pakistan

[2] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey

[3] Inst Space Sci, Magurele 077125, Romania

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[5] Prince Sattam Bin Abdulaziz Univ, Dept Math, Coll Arts & Sci, Wadi Aldawaser, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS | 2020年 / 2020卷

关键词：

HOMOTOPY ASYMPTOTIC METHOD; SOLVING SYSTEMS;

D O I：

10.1155/2020/8845491

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, a reliable technique is used for the solution of a system of Volterra integral equations (VIEs), called optimal homotopy asymptotic method (OHAM). The proposed technique is successfully applied for the solution of different problems, and comparison is made with the relaxed Monto Carlo method (RMCM) and hat basis function method (HBFM). The comparisons show that the present technique is more suitable and reliable for the solution of a system of VIEs. The presented technique uses auxiliary function containing auxiliary constants, which control the convergence. Moreover, OHAM does not require discretization like other numerical methods and is also free from small or large parameter.

引用

页数：9

共 25 条

[21] Optimum Solutions of Fractional Order Zakharov-Kuznetsov Equations [J].