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

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)109-125
Number of pages17
JournalInternational Journal of Pure and Applied Mathematics
Volume100
Issue number1
DOIs
Publication statusPublished - 2015

Fingerprint

Singular Differential Equations
Bernstein Polynomials
Estimation Error
Collocation Method
Error analysis
Nonlinear Differential Equations
Error Estimates
Approximate Solution
Differential equations
Polynomials
Numerical Solution
Error correction
Demonstrate

Keywords

  • Bernstein polynomials
  • Error estimate
  • Singular differential equations

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Approximate solutions of singular differential equations with estimation error by using Bernstein polynomials. / Alshbool, M. H T; Bataineh, A. S.; Hashim, Ishak; Isik, Osman Rasit.

In: International Journal of Pure and Applied Mathematics, Vol. 100, No. 1, 2015, p. 109-125.

Research output: Contribution to journalArticle

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