@article{(Open Science Index):https://publications.waset.org/pdf/9999909,
	  title     = {Generalized Chebyshev Collocation Method},
	  author    = {Junghan Kim and  Wonkyu Chung and  Sunyoung Bu and  Philsu Kim},
	  country	= {},
	  institution	= {},
	  abstract     = {In this paper, we introduce a generalized Chebyshev
collocation method (GCCM) based on the generalized Chebyshev
polynomials for solving stiff systems. For employing a technique
of the embedded Runge-Kutta method used in explicit schemes, the
property of the generalized Chebyshev polynomials is used, in which
the nodes for the higher degree polynomial are overlapped with those
for the lower degree polynomial. The constructed algorithm controls
both the error and the time step size simultaneously and further
the errors at each integration step are embedded in the algorithm
itself, which provides the efficiency of the computational cost. For
the assessment of the effectiveness, numerical results obtained by the
proposed method and the Radau IIA are presented and compared.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {8},
	  number    = {12},
	  year      = {2014},
	  pages     = {1442 - 1445},
	  ee        = {https://publications.waset.org/pdf/9999909},
	  url   	= {https://publications.waset.org/vol/96},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 96, 2014},
	}