<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.

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 International License.

{"article-title":"Numerical Solution of Abel\u2032s Integral Equations using Hermite Wavelet"}

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

Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Pubblicato online: 28 giu 2019

Pagine: 169 - 180

Ricevuto: 21 mar 2019

Accettato: 08 mag 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00017

Parole chiave
Abel′s integral equations, Hermite wavelets, collocation method

© 2019 R. A. Mundewadi et al., published by Sciendo

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

Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Pubblicato online: 28 giu 2019

Pagine: 169 - 180

Ricevuto: 21 mar 2019

Accettato: 08 mag 2019

DOI: https://doi.org/10.2478/AMNS.2019.1.00017

Parole chiaveAbel′s integral equations, Hermite wavelets, collocation method

© 2019 R. A. Mundewadi et al., published by Sciendo

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

Parole chiave
Abel′s integral equations, Hermite wavelets, collocation method