A parametric spline method for second-order singularly perturbed boundary-value problem
IOSR Journal of Mathematics (IOSR-JM) • 2013
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.
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.
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