Abstract
This paper presents a parameter expansion method for two-point nonlinear singularly perturbed boundary value problem for second order ordinary differential equation. Newton's linearization scheme is used to linearize the nonlinear problems. In Okoro et al. [1] linear problems were treated. The numerical results obtained for some examples show that the parameter expansion becomes more accurate as the value of e approaches zero when compared with the standard collocation method, at no extra computational effort. For favourable problems to exponential fitting reported in [2], the proposed method in this paper is less accurate. It is however more general in application than the exponential fitting.
Published Version
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