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A parametric spline method for second-order singularly perturbed boundary-value problem

IOSR Journal of Mathematics (IOSR-JM) • 2013
العودة
معلومات البحث
المؤلفون F. A. Abd El-Salam
الكلمات المفتاحية Singular perturbation; parametric spline functions; BVPs; ODEs.
المجلة العلمية IOSR Journal of Mathematics (IOSR-JM)
الناشر Not Available
المجلد Volume 9
العدد Issue 3
الصفحات 1-5
publication.type International
رابط البحث Open Link
المواد المرفقة Not Available
الملخص
A numerical method based on parametric spline with adaptive parameter is given for the second order
singularly perturbed two-point boundary value problems of the form  y  p(x)y  q(x)y  r(x); y(a)  ; y(b) 
The derived method is second-order and fourth-order convergence depending on the choice of the two
parameters  and  . Error analysis of a method is briefly discussed. The method is tested on an example and
the results found to be in agreement and support the predicted theory.