A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions
Numer. Math. Theor. Meth. Appl., 4 (2011), pp. 283-295.
Published online: 2011-04
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@Article{NMTMA-4-283,
author = {Jian-Ping Yan and Ben-Yu Guo},
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
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.
Jian-Ping Yan and Ben-Yu Guo. (2011). 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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