@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},
	}