Computational Algorithm for Higher Order Legendre Polynomial and Gaussian Quadrature Method

: - There are many numerical methods adopted to solve mathematical problems. Early researchers focused on the methods to reduce computational costs. In recent years, reduction in computational costs makes many numerical methods available which were not tried for this reason. The use of higher order Legendre polynomials for more than 5-7 orders is usually not common. The efficient and quick numerical methods like Gaussian Quadrature were not adopted for higher orders. In this paper a very simple computational algorithm is adopted for calculations of higher order Legendre polynomials and its use for Gaussian quadrature numerical integration till 44th order.

• Type: Conference
• Year: 2006
• Where: CSC
• Authors: Asif Mughal, Xiu Ye, Kamran Iqbal
• Keywords: Computational Costs, CSC 2006, CSC 2007, Numerical Methods, Order Legendre Polynomials