Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions
In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significa...
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| Veröffentlicht in: | SeMA journal Jg. 66; H. 1; S. 29 - 42 |
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| Sprache: | Englisch |
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01.11.2014
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| Abstract | In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significant computational advantage over the sinc-collocation method. |
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| AbstractList | In this paper, we will compare the performance of sinc-collocation method and the Chebychev-collocation method applied to determine the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions. The numerical results indicate that the chebychev method possesses a significant computational advantage over the sinc-collocation method. |
| Author | El-Gamel, Mohamed |
| Author_xml | – sequence: 1 givenname: Mohamed surname: El-Gamel fullname: El-Gamel, Mohamed email: gamel_eg@yahoo.com organization: Department of Mathematical Sciences, Faculty of Engineering, Mansoura University |
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| Cites_doi | 10.1093/comjnl/7.1.76 10.1080/0020739960270414 10.4236/am.2012.311225 10.1090/S0025-5718-1994-1203738-7 10.1016/j.camwa.2009.02.029 10.1016/j.amc.2004.10.020 10.4236/am.2012.38137 10.1007/s00033-006-5124-5 10.1016/0021-9991(87)90163-X 10.1016/j.camwa.2010.05.005 10.1007/BF02241779 10.1016/j.cam.2007.07.005 10.1016/j.amc.2007.04.113 10.1016/S0377-0427(00)00573-2 10.1090/S0025-5718-03-01587-4 10.1016/j.cam.2005.05.008 10.1016/S0096-3003(01)00273-9 10.1016/0096-3003(95)00253-7 10.1093/imanum/11.3.357 10.1016/S0377-0427(00)00349-6 10.1090/S0025-5718-05-01717-5 10.1137/1.9781611971637 10.1016/j.amc.2007.02.148 10.1016/j.amc.2004.08.024 10.1016/0021-9991(90)90116-I 10.1016/j.amc.2010.03.022 10.1016/S0168-9274(96)00073-6 10.1016/S0096-3003(00)00123-5 10.1007/978-1-4612-2706-9 10.1016/j.camwa.2004.10.021 10.1016/0010-4655(92)90006-K 10.1093/imanum/4.1.83 10.1016/S0096-3003(01)00333-2 10.1016/S0096-3003(01)00104-7 10.1016/j.cam.2006.06.014 10.1016/j.amc.2010.08.065 10.1137/0732074 10.1137/S0036144500381988 10.1016/j.apm.2012.10.019 10.1016/j.camwa.2008.01.023 10.1093/comjnl/6.1.88 |
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| Keywords | 45J05 Collocation Sturm–Liouville 65L60 Sinc function Chebychev |
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| Title | Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions |
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