@article{(Open Science Index):https://publications.waset.org/pdf/7635, title = {Quasilinearization–Barycentric Approach for Numerical Investigation of the Boundary Value Fin Problem}, author = {Alireza Rezaei and Fatemeh Baharifard and Kourosh Parand}, country = {}, institution = {}, abstract = {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. }, journal = {International Journal of Computer and Information Engineering}, volume = {5}, number = {2}, year = {2011}, pages = {194 - 201}, ee = {https://publications.waset.org/pdf/7635}, url = {https://publications.waset.org/vol/50}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 50, 2011}, }