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Volume 4, Issue 2
A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

Jian-Ping Yan & Ben-Yu Guo

Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 283-295.

Published online: 2011-04

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  • Abstract

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.

  • AMS Subject Headings

65L05, 41A30

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-4-283, author = {}, title = {A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {2}, pages = {283--295}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.42s.9}, url = {http://global-sci.org/intro/article_detail/nmtma/5969.html} }
TY - JOUR T1 - A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions 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.

Jian-Ping Yan & Ben-Yu Guo. (2020). A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions. Numerical Mathematics: Theory, Methods and Applications. 4 (2). 283-295. doi:10.4208/nmtma.2011.42s.9
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