Computational methods for integral equations
Computational methods for integral equations
Reducing index, and pseudospectral methods for differential-algebraic equations
Applied Mathematics and Computation
Reducing index method for differential algebraic equations
MATH'05 Proceedings of the 7th WSEAS International Conference on Applied Mathematics
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In this article, there is an attempt to introduce, generally, spectral methods for numerical solution of ordinary differential equations, also, to focus on those problems in which some coefficient functions or solution function is not analytic. Then, by expressing weak and strong aspects of spectral methods to solve this kind of problems, a modified spectral method which is more efficient than other spectral methods is suggested. Furthermore, with providing some examples, the aforementioned cases are dealt with numerically.