@article{(Open Science Index):https://publications.waset.org/pdf/3892,
	  title     = {Maxwell-Cattaneo Regularization of Heat Equation},
	  author    = {F. Ekoue and  A. Fouache d'Halloy and  D. Gigon and  G Plantamp and  E. Zajdman},
	  country	= {},
	  institution	= {},
	  abstract     = {This work focuses on analysis of classical heat transfer equation regularized with Maxwell-Cattaneo transfer law. Computer simulations are performed in MATLAB environment. Numerical experiments are first developed on classical Fourier equation, then Maxwell-Cattaneo law is considered. Corresponding equation is regularized with a balancing diffusion term to stabilize discretizing scheme with adjusted time and space numerical steps. Several cases including a convective term in model equations are discussed, and results are given. It is shown that limiting conditions on regularizing parameters have to be satisfied in convective case for Maxwell-Cattaneo regularization to give physically acceptable solutions. In all valid cases, uniform convergence to solution of initial heat equation with Fourier law is observed, even in nonlinear case.
},
	    journal   = {International Journal of Physical and Mathematical Sciences},
	  volume    = {7},
	  number    = {5},
	  year      = {2013},
	  pages     = {772 - 776},
	  ee        = {https://publications.waset.org/pdf/3892},
	  url   	= {https://publications.waset.org/vol/77},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 77, 2013},
	}