@article{(Open Science Index):https://publications.waset.org/pdf/7461,
	  title     = {Numerical Solution of Riccati Differential Equations by Using Hybrid Functions and Tau Method},
	  author    = {Changqing Yang and  Jianhua Hou and  Beibo Qin},
	  country	= {},
	  institution	= {},
	  abstract     = {A numerical method for Riccati equation is presented in this work. The method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The operational matrices of derivative and product of hybrid functions are presented. These matrices together with the tau method are then utilized to transform the differential equation into a system of algebraic equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {6},
	  number    = {8},
	  year      = {2012},
	  pages     = {871 - 874},
	  ee        = {https://publications.waset.org/pdf/7461},
	  url   	= {https://publications.waset.org/vol/68},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 68, 2012},
	}