Universal Journal of Mathematics and Mathematical Sciences
Volume 4, [Proceedings of International Conference: Mathematical Science and Applications, December 26-30, 2012, Abu Dhabi, UAE] Issue 1, Pages 161 - 172
(July 2013)
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DIFFERENCE SCHEME FOR SINGULARLY PERTURBED SYSTEM
Ilhame G. Amiraliyeva
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Abstract: This work deals with the numerical solution of singular perturbation system of two coupled second ordinary differential equations with initial and periodical conditions, respectively. Fitted finite difference scheme on a uniform mesh, whose solution converges pointwise independently of the singular perturbation parameter, is constructed and analyzed. |
Keywords and phrases: singular perturbation, linear system, difference scheme, uniform convergence. |
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