Approximation of Sturm-Liouville Problems by Exponentially Weighted Legendre-Gauss Tau Method

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.

• Mohamed K. El Daou

• Oscillatory functions
• Sturm-Liouville problems
• legendre polynomial
• gauss points.

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