Approximate solutions of nonlinear two-dimensional Volterra integral equations

被引：4

作者：

Ahsan, Sumbal ^{[1
]}

Nawaz, Rashid ^{[1
]}

Akbar, Muhammad ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
,3
]}

Baleanu, Dumitru ^{[4
,5
,6
]}

机构：

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

[2] Coll Arts & Sci, Dept Math, Wadi Aldawaser, Saudi Arabia

[3] Prince Sattam Bin Abdulaziz Univ, Alkharj, Saudi Arabia

[4] Cankaya Univ, Dept Math, Ankara, Turkey

[5] Inst Space Sci, Bucharest, Romania

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 07期

关键词：

2D‐ VIEs; analytical solution; the Optimal Homotpy Asymptotic Method;

D O I：

10.1002/mma.7128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present work is concerned with examining the Optimal Homotopy Asymptotic Method (OHAM) for linear and nonlinear two-dimensional Volterra integral equations (2D-VIEs). The result obtained by the suggested method for linear 2D-VIEs is compared with the differential transform method, Bernstein polynomial method, and piecewise block-plus method and result of the proposed method for nonlinear 2D-VIEs is compared with 2D differential transform method. The proposed method provides us with efficient and more accurate solutions compared to the other existing methods in the literature.

引用

页码：5548 / 5559

页数：12

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