Haar wavelet method for some nonlinear Volterra integral equations of the first kind

Inderdeep Singh ^[1] ; Sheo Kumar ^[1]
1. [1] Dr. B.R. Ambedkar National Institute of Technology, India
Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 541-552
Idioma: inglés
DOI: 10.1016/j.cam.2015.07.022
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Resumen
- We present here a simple efficient Haar wavelet method for numerical solution of a class of nonlinear Volterra integral equations of the first kind. The present method is based on converting nonlinear Volterra integral equations of the first kind into linear Volterra integral equations of the second kind. Numerical examples are given to illustrate efficiency and accuracy of the present method. Comparison with numerical methods in the past has also been done.