Discretization method for the numerical solution of 2D Volterra integral equation based on two-dimensional Bernstein polynomial

被引：6

作者：

Khan, Faheem ^{[1
]}

Omar, Muhammad ^{[2
]}

Ullah, Zafar ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[2] COMSATS Univ Islamabad, Dept Math, Islamabad 57000, Pakistan

[3] Univ Educ, Dept Math, Lahore 32200, Pakistan

来源：

AIP ADVANCES | 2018年 / 8卷 / 12期

关键词：

The authors would like to thank the referees for their helpful suggestions and comments which showed the way to improve this work. This work is supported by the National Research Program for Universities (NRPU); Project No. 3183; of Pakistan;

D O I：

10.1063/1.5051113

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

This paper develops a numerical technique for the solution of 2D Volterra Integral Equations (2DVIEs). The proposed method is based on the discretization of 2DVIEs by using two-dimensional Bernstein's approximation. Some results are developed regarding convergence analysis which shows that the given technique converges to the exact solution rapidly. Several examples are also presented to demonstrate the efficiency and accuracy of the proposed method. (C) 2018 Author(s).

引用

页数：9

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