Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

被引：26

作者：

Ali, Mohamed R. ^{[1
]}

Mousa, Mohamed M. ^{[1
,2
]}

Ma, Wen-Xiu ^{[3
,4
,5
,6
]}

机构：

[1] Benha Univ, Benha Fac Engn, Dept Math, Banha, Egypt

[2] Majmaah Univ, Dept Math, Coll Sci & Human Studies Howtat Sudair, Al Majmaah 11952, Saudi Arabia

[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[4] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia

[5] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[6] North West Univ, Int Inst Symmetry Anal & Math Modelling, Dept Math Sci, Mafikeng Campus, ZA-2735 Mmabatho, South Africa

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷

关键词：

COLLOCATION METHODS; NUMERICAL-SOLUTIONS;

D O I：

10.1155/2019/1705651

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the weakly SNVIE including Abel's equations. We acquire the HOBW implementation matrix of the integration to derive the procedure of solving these kind integral equations. The explained technique is delineated with two numerical cases to demonstrate the benefit of the technique used by us. At last, the exchange uncovers the way that the strategy utilized here is basic in usage.

引用

页数：10

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