%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