Numerical Solution of Abel′s Integral Equations using Hermite Wavelet

Applied Mathematics and Nonlinear Sciences

S Kumbinarasaiah¹  Mundewadi R. A.² 

[1] Department of Mathematics, Karnatak University, Dharwad, India;Department of Mathematics, M.E.S Degree College, Malleswaram, Bangalore, India;

关键词: abel′s integral equations;    hermite wavelets;    collocation method;    65t60;    65r20;    97n40;   

DOI  :  10.2478/AMNS.2019.2.00037

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown