## Comparison between Rational Gegenbauer and Modified Generalized Laguerre Functions Collocation Methods for Solving the Case of Heat Transfer Equations Arising in Porous Medium

- K. Parand, Fatemeh Baharifard, F. Bayat Babolghani
- 2012

Highly Influenced

@article{Guo2000ARA, title={A Rational Approximation and Its Applications to Differential Equations on the Half Line}, author={Ben-yu Guo and Jie Shen and Zhong-Qing Wang}, journal={J. Sci. Comput.}, year={2000}, volume={15}, pages={117-147} }

- Published 2000 in J. Sci. Comput.
DOI:10.1023/A:1007698525506

An orthogonal system of rational functions is introduced. Some results on rational approximations based on various orthogonal projections and interpolations are established. These results form the mathematical foundation of the related spectral method and pseudospectral method for solving differential equations on the half line. The error estimates of the rational spectral method and rational pseudospectral method for two model problems are established. The numerical results agree well with the… CONTINUE READING