<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

RETRACTED ARTICLE: Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

A numerical method is developed for solving the Abel′s integral equations is presented. The method is based upon Hermite wavelet approximations. Hermite...

RETRACTED ARTICLE: Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Data publikacji: 25 paź 2019

Zakres stron: 395 - 406

Otrzymano: 21 mar 2019

Przyjęty: 08 maj 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00037

Słowa kluczowe
Abel′s integral equations, Hermite wavelets, collocation method

© 2019 R. A. Mundewadi and Kumbinarasaiah S, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

RETRACTED ARTICLE: Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Data publikacji: 25 paź 2019

Zakres stron: 395 - 406

Otrzymano: 21 mar 2019

Przyjęty: 08 maj 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00037

Słowa kluczoweAbel′s integral equations, Hermite wavelets, collocation method

© 2019 R. A. Mundewadi and Kumbinarasaiah S, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Słowa kluczowe
Abel′s integral equations, Hermite wavelets, collocation method