Numerical integration method for general singularly perturbed two point boundary value problems

Authors:
Y. N. Reddy;K. Anantha Reddy
Affiliations:
Department of Mathematics, Regional Engineering College, Warangal, A.P. 506 004, India;Department of Mathematics, Regional Engineering College, Warangal, A.P. 506 004, India
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 3
Cited 0

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Abstract

In this paper, a numerical integration method is presented for solving general singularly perturbed two-point boundary value problems. The original second-order differential equation is replaced by an approximate first-order differential equation with a small deviating argument. Then, the trapezoidal formula is used to obtain the three-term recurrence relationship. The proposed method is iterative on the deviating argument. To demonstrate the applicability of the method, we have solved several model linear and non-linear examples with left-end boundary layer or right-end boundary layer or an internal layer or two boundary layers and presented the computational results.