TY - JOUR T1 - A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions AU - Jian-Ping Yan & Ben-Yu Guo JO - Numerical Mathematics: Theory, Methods and Applications VL - 2 SP - 283 EP - 295 PY - 2011 DA - 2011/04 SN - 4 DO - http://doi.org/10.4208/nmtma.2011.42s.9 UR - https://global-sci.org/intro/article_detail/nmtma/5969.html KW - Laguerre-Gauss collocation method using modified Laguerre functions, initial value problems of second-order ODEs. AB -
We propose a collocation method for solving initial value problems of second-order ODEs by using modified Laguerre functions. This new process provides global numerical solutions. Numerical results demonstrate the efficiency of the proposed algorithm.