@article {10.3844/jmssp.2009.136.140,
article_type = {journal},
title = {On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations },
author = {Ogundare, B. S.},
volume = {5},
year = {2009},
month = {Jun},
pages = {136-140},
doi = {10.3844/jmssp.2009.136.140},
url = {https://thescipub.com/abstract/jmssp.2009.136.140},
abstract = {Problem statement: 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.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}