Open AccessNumerical Solution of Abel′s Integral Equations using Hermite Wavelet
Author(s) -
R. A. Mundewadi,
S. Kumbinarasaiah
Publication year - 2019
Publication title -
applied mathematics and nonlinear sciences
Language(s) - English
Resource type - Journals
ISSN - 2444-8656
DOI - 10.2478/amns.2019.2.00037
Subject(s) - hermite polynomials , wavelet , mathematics , algebraic equation , integral equation , mathematical analysis , computer science , physics , artificial intelligence , nonlinear system , quantum mechanics
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.