Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials

M. H.T. Alshbool; A. S. Bataineh; I. Hashim; Osman Rasit Isik

doi:10.12732/ijpam.v100i1.10

Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials

M. H.T. Alshbool
, A. S. Bataineh
, I. Hashim
, Osman Rasit Isik

Universiti Kebangsaan Malaysia
Al-Balqa Applied University
Mugla Sıtkı Kocman University

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

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.

Original language	English
Pages (from-to)	109-125
Number of pages	17
Journal	International Journal of Pure and Applied Mathematics
Volume	100
Issue number	1
DOIs	https://doi.org/10.12732/ijpam.v100i1.10
State	Published - 2015
Externally published	Yes

Keywords

Bernstein polynomials
Error estimate
Singular differential equations

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10.12732/ijpam.v100i1.10

Cite this

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title = "Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials",

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.",

keywords = "Bernstein polynomials, Error estimate, Singular differential equations",

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year = "2015",

doi = "10.12732/ijpam.v100i1.10",

language = "English",

volume = "100",

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AU - Alshbool, M. H.T.

AU - Bataineh, A. S.

AU - Hashim, I.

AU - Isik, Osman Rasit

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Bernstein polynomials

KW - Error estimate

KW - Singular differential equations

UR - https://www.scopus.com/pages/publications/84925301933

U2 - 10.12732/ijpam.v100i1.10

DO - 10.12732/ijpam.v100i1.10

M3 - Article

AN - SCOPUS:84925301933

SN - 1311-8080

VL - 100

SP - 109

EP - 125

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 1

ER -

Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials

Abstract

Keywords

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