Numerical Solution of Abel's Integral Equations using Hermite Wavelet

被引：14

作者：

Mundewadi, R. A. ^{[1
]}

Kumbinarasaiah, S. ^{[2
]}

机构：

[1] MES Degree Coll, Dept Math, Bangalore, Karnataka, India

[2] Karnatak Univ, Dept Math, Dharwad, Karnataka, India

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2019年 / 4卷 / 01期

关键词：

Abel's integral equations; Hermite wavelets; collocation method;

D O I：

10.2478/AMNS.2019.1.00017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method is developed for solving the Abel's integral equations is presented. The method is based upon Hermite wavelet approximations. Hermite wavelet method is then utilized to reduce the Abel's integral equations into the solution of algebraic equations. Illustrative examples are included to demonstrate the validity, efficiency and applicability of the proposed technique. Algorithm provides high accuracy and compared with other existing methods.

引用

页码：169 / 180

页数：12

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[1] RETRACTED: Numerical Solution of Abel's Integral Equations using Hermite Wavelet (Retracted article. See MAY, 2023)
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[2] RETRACTION: Numerical Solution of Abel's Integral Equations using Hermite Wavelet (vol 4, pg 395, 2019) (Retraction of Vol 4, Pg 395, 2019)
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