%0 Journal Article %A Mohamed K. El Daou %D 2008 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 17, 2008 %T Approximation of Sturm-Liouville Problems by Exponentially Weighted Legendre-Gauss Tau Method %U https://publications.waset.org/pdf/1756 %V 17 %X We construct an exponentially weighted Legendre- Gauss Tau method for solving differential equations with oscillatory solutions. The proposed method is applied to Sturm-Liouville problems. Numerical examples illustrating the efficiency and the high accuracy of our results are presented. %P 312 - 318