A Finite Difference Technique for Singularly Perturbed Two-Point Boundary value Problem using Deviating Argument
نویسنده
چکیده
In this paper, we have presented a finite difference technique to solve singularly perturbed two-point boundary value problem using deviating argument. We have replaced the given second order boundary value problem by an asymptotically equivalent first order differential equation with deviating argument. We have applied a fourth order finite difference approximation for the first derivative and obtained a tridiagonal system. Then, we have solved this tridiagonal system efficiently by discrete invariant imbedding algorithm. This method is iterative on the deviating argument. We have presented numerical results of several model examples to support the proposed method. Index Terms — Singularly perturbed two-point boundary value problem, Boundary layer, Deviating argument, Finite difference, Taylor series, Tridiagonal system. —————————— ——————————
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