Article
Numerical Solution of Abel′s Integral Equations using Hermite Wavelet
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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.
Keywords
Abel′s integral equations, Hermite wavelets, collocation method, 65T60, 65R20, 97N40
Citation
Mundewadi, R. A. & Kumbinarasaiah, S. (2019). Numerical solution of abel′s integral equations using hermite wavelet. Applied Mathematics and Nonlinear Sciences, 4(1), 169–180. https://doi.org/10.2478/AMNS.2019.1.00017
R. A. Mundewadi and S. Kumbinarasaiah, “Numerical solution of abel′s integral equations using hermite wavelet,” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, pp. 169–180, 2019, doi: 10.2478/AMNS.2019.1.00017.
Mundewadi RA, Kumbinarasaiah S. Numerical solution of abel′s integral equations using hermite wavelet. Applied Mathematics and Nonlinear Sciences. 2019;4(1):169–180. doi:10.2478/AMNS.2019.1.00017.
Mundewadi, R. A. and Kumbinarasaiah, S. (2019), ‘Numerical solution of abel′s integral equations using hermite wavelet’, Applied Mathematics and Nonlinear Sciences, 4(1), pp. 169–180. Available at: https://doi.org/10.2478/AMNS.2019.1.00017.
Mundewadi, R. A., and S. Kumbinarasaiah. “Numerical Solution of Abel′s Integral Equations Using Hermite Wavelet.” Applied Mathematics and Nonlinear Sciences, vol. 4, no. 1, 2019, pp. 169–180. https://doi.org/10.2478/AMNS.2019.1.00017.
Mundewadi, R. A., and S. Kumbinarasaiah. “Numerical Solution of Abel′s Integral Equations Using Hermite Wavelet.” Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 169–180. https://doi.org/10.2478/AMNS.2019.1.00017.
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