%0 Journal Article
	%A Alireza Rezaei and  Fatemeh Baharifard and  Kourosh Parand
	%D 2011
	%J International Journal of Computer and Information Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 50, 2011
	%T Quasilinearization–Barycentric Approach for Numerical Investigation of the Boundary Value Fin Problem
	%U https://publications.waset.org/pdf/7635
	%V 50
	%X In this paper we improve the quasilinearization method by barycentric Lagrange interpolation because of its numerical stability and computation speed to achieve a stable semi analytical solution. Then we applied the improved method for solving the Fin problem which is a nonlinear equation that occurs in the heat transferring. In the quasilinearization approach the nonlinear differential equation is treated by approximating the nonlinear terms by a sequence of linear expressions. The modified QLM is iterative but not perturbative and gives stable semi analytical solutions to nonlinear problems without depending on the existence of a smallness parameter. Comparison with some numerical solutions shows that the present solution is applicable.

	%P 194 - 201