Click for new scientific resources and news about Corona[COVID-19]

Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 2; Page(s) 15 To 32.

Numerical Solution of Lane-Emden Type Equation by Using Hybrid Third Kind Chebyshev Polynomials and Block-Pulse Functions Operational Matrix of Differentiation

Author(s):  Jafari R., EZZATI R.*, MALEKNEJAD K.
* Department of Mathematics, Karaj Azad University, Karaj, Iran
In this paper, first, a numerical method is presented for solving generalized linear and nonlinear Lane-Emden type equations. The operational matrix of derivative is obtained by introducing hybrid third kind Chebyshev polynomials and Block-pulse functions. This matrix with the tau method is then utilized to transform the differential equation into a system of algebraic equations. Finally, the convergence analysis is investigated and the efficiency of the proposed method is indicated by some numerical examples.
Keyword(s): Hybrid functions,chebyshev polynomials,block-pulse functions,operational matrix of derivative,lane-emden type equations
  • ندارد
  pdf-File tarjomyar Yearly Visit 75
Latest on Blog
Enter SID Blog