Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

• R. A. Mundewadi ^[2] ; Kumbinarasaiah S ^[1]
  1. [1] Karnatak University

     Karnatak University

     India

     
  2. [2] M.E.S Degree College, Malleswaram, Bangalore
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 4, Nº. 2, 2019, págs. 395-406
• Idioma: inglés
• DOI: 10.2478/amns.2019.2.00037
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• Resumen

  • A numerical method is developed for solving the Abel0 s integral equations is presented. The method is based upon Hermite wavelet approximations. Hermite wavelet method is then utilized to reduce the Abel0 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