TY  - JOUR
AU  - Ogundare, B. S. 
PY  - 2009
TI  - On the Pseudo-Spectral Method of Solving Linear Ordinary Differential Equations 
JF  - Journal of Mathematics and Statistics
VL  - 5
IS  - 2
DO  - 10.3844/jmssp.2009.136.140
UR  - https://thescipub.com/abstract/jmssp.2009.136.140
AB  - 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.