Non-Iterative Numerical Integration method for Singular Perturbation Problems exhibiting Internal and Twin Layers

International Journal of Applied Mathematics and Computation

GBSL. Soujanya¹  Kolloju Phaneendra² 

[1] $$;Y. N. Reddy$$

关键词: Singular perturbation problem;    Numerical integration;    Trapezoidal formula;    boundary layer.;   

DOI  :  10.0000/ijamc.2011.3.1.194

来源: PSIT Kanpur

【 摘 要 】

In this paper, a non-iterative numerical integration method is developed on a uniform mesh for a class of singularly perturbed two-point boundary value problems exhibiting internal and twin boundary layers. This method is non-iterative on a small deviating argument which converts the second order boundary value problem to the first order differential equation with the deviating argument. By applying numerical integration method on first order differential equation, tridiagonal scheme is obtained and is solved efficiently. This method is non-iterative and very easy to implement. Root mean square errors are presented to illustrate the proposed method.

【 授权许可】

Unknown