Numerical Method for the Solution of Abel's Integral Equations using Laguerre Wavelet

Abstract

*Department of Mathematics, Karnatak University, Dharwad, India. \u00a0 **Department of Mathematics, MES Degree College, Bangalore, India. \u00a0 (Received March 05 2019, accepted September 28 2019) Laguerre \u00a0wavelet \u00a0based \u00a0numerical \u00a0method \u00a0is \u00a0developed \u00a0for \u00a0the \u00a0solution \u00a0of \u00a0Abel\u2019s \u00a0integral equations. This method is based on Laguerre wavelets basis. Laguerre wavelet method is then utilized to reduce the Abel\u2019s Integral Equations into the solution of algebraic equations. Illustrative examples are shows that the validity, efficiency and applicability of the \u00a0proposed technique. This algorithm provides high accuracy and compared with other existing methods. \u00a0