Open Science Research Excellence
@article{(International Science Index):http://waset.org/publications/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, Electrical, Automation, Control and Information Engineering},  volume    = {5},
  number    = {2},
  year      = {2011},
  pages     = {194 - 201},
  ee        = {http://waset.org/publications/7635},
  url       = {http://waset.org/Publications?p=50},
  bibsource = {http://waset.org/Publications},
  issn      = {eISSN:1307-6892},
  publisher = {World Academy of Science, Engineering and Technology},
  index     = {International Science Index 50, 2011},
}