An estimate to functions with second derivatives in Hölder class by moduli of continuity and solutıon of Chandrasekhar’s white dwarf equation by Chebyshev wavelet

Abstract

In this paper, modulus of continuity, second kind Chebyshev wavelet and Hölder class are studied. The moduli of continuity and approximations of functions whose second derivative belonging to H¨older class have been determined by second kind Chebyshev wavelet. The operational matrix of integration for second kind Chebyshev wavelet has been framed. Using this, numerical solutions of non-linear singular differential equations have been obtained. The modulus of continuity, approximations, solution of Lane-Emden equation of index p=1 as well as the comparison with the exact solution and applicability of second kind Chebyshev wavelet method in finding numerical solution of Chandrasekhar’s white dwarf equation are significant achievements of this paper.