Solution of Lane-Emden type equation using hybrid third kind Chebyshev polynomials and Block-pulse functions operational matrix of dierentiation

Abstract

In this paper, rst, a numerical method is presented for solving generalized linear andnonlinear Lane-Emden type equations. The operational matrix of derivative is obtainedby introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. Thismatrix with the tau method is then utilized to transform the dierential equation into asystem of algebraic equations. Finally, the convergence analysis is investigated and theeciency of the proposed method is indicated by some numerical examples.