@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}, }