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A Second Order Finite Di¤erence Scheme for Some Singularly Perturbed Boundary Value Problems

Basem S. Attili
장전수학회 (Jangjeon Mathematical Society)|2010.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제13권 제2호|pp. 231-241|DOI 10.17777/pjms.2010.13.2.010

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키워드

Singularly Perturbed ProblemsFinite Di¤erenceBoundary Value Problems
주제분류수학

초록

A numerical algorithm based on a second order finite di¤erence scheme is proposed to solve singularly perturbed linear two point value problems. The system is first decoupled partially into two independent subsystems,fast and slow components. Each subsystem then is solved separately using the proposed algorithm. We present some numerical examples to show the effciency of the algorithm.

Abstract

A numerical algorithm based on a second order finite di¤erence scheme is proposed to solve singularly perturbed linear two point value problems. The system is first decoupled partially into two independent subsystems,fast and slow components. Each subsystem then is solved separately using the proposed algorithm. We present some numerical examples to show the effciency of the algorithm.

참고문헌 (18)

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