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

Journal of Mathematics and Statistics

B. S. Ogundare¹ 

关键词: Chebyshev polynomial;    linear ordinary differential equations;    Spectral method;    Pseudospectral method;    pseudo-pseudo-spectral method;   

DOI  :  10.3844/jmssp.2009.136.140

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

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.

【 授权许可】

Unknown