IJPAM: Volume 100, No. 1 (2015)

APPROXIMATE SOLUTIONS OF SINGULAR DIFFERENTIAL
EQUATIONS WITH ESTIMATION ERROR BY USING
BERNSTEIN POLYNOMIALS

M.H.T. Alshbool$^1$, A.S. Bataineh$^2$, I. Hashim$^3$, Osman Rasit Isik$^4$
$^{1,3}$School of Mathematical Sciences
Universiti Kebangsaan Malaysia
43600 UKM Bangi, Selangor, MALAYSIA
$^2$Department of Mathematics, Faculty of Science,
Al Balqa Applied University, 19117 Salt, Jordan
$^4$Department of Mathematics, Faculty of Sciences,
Mugla Sitki Kocman University, 48000 Mugla, TURKEY


Abstract. We present an approximate solution depending on collocation method and Bernstein polynomials for numerical solution of a singular nonlinear differential equations with the mixed conditions. The method is given with two different priori error estimates. By using the residual correction procedure, the absolute error might be estimated and obtained more accurate results. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.

Received: January 28, 2015

AMS Subject Classification: 15B99, 14F10

Key Words and Phrases: singular differential equations, Bernstein polynomials, error estimate

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DOI: 10.12732/ijpam.v100i1.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 1
Pages: 109 - 125


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