On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations

 dc.contributor.author Ogundare, B. S. dc.date.accessioned 2014-09-02T14:35:37Z dc.date.accessioned 2018-10-29T11:15:08Z dc.date.available 2014-09-02T14:35:37Z dc.date.available 2018-10-29T11:15:08Z dc.date.issued 2009 dc.identifier.citation Ogundare, B. S. (2009). On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations. Journal of Mathematics and Statistics, 5(2): 136 - 140. en_US dc.identifier.uri http://localhost:8080/xmlui/handle/123456789/3496 dc.description.abstract Not all differential equations can be solved analytically, to overcome this problem, there is need to search for an accurate approximate solution. Approach: The objective of this study was to find an accurate approximation technique (scheme) for solving linear differential equations. By exploiting the Trigonometric identity property of the Chebyshev polynomial, we developed a numerical scheme referred to as the pseudo-pseudo-spectral method. Results: With the scheme developed, we were able to obtain approximate solution for certain linear differential equations. Conclusion: The numerical scheme developed in this study competes favorably with solutions obtained with standard and well known spectral methods. We presented numerical examples to validate our results and claim. en_US dc.language.iso en en_US dc.subject Chebyshev polynomial en_US dc.subject Linear ordinary differential equations en_US dc.subject Spectral method en_US dc.subject Pseudo-spectral method en_US dc.subject Pseudo-pseudo-spectral method en_US dc.title On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations en_US dc.type Article en_US dc.department Mathematics en_US dc.faculties Science en_US dc.format.filetype PDF en_US dc.pages.totalpages 5 en_US
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