Deviation of the Error Estimation for Second Order Fredholm-Volterra Integro Differential Equations

Deviation of the Error Estimation for Second Order Fredholm-Volterra Integro Differential Equations

In this paper we study the deviation of the error estimation for the second order Fredholm-Volterra integro-differential equations. We prove that for m degree piecewise polynomial collocation method, our method provides O(h m+1 ) as the order of the deviation of the error. Also numerical results in...

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Veröffentlicht in:Mathematical modelling and analysis 2016-11, Vol.21 (6), p.719-740
Hauptverfasser: Parvaz, Reza, Zarebnia, Mohammad, Saboor Bagherzadeh, Amir
Format: Artikel
Sprache:eng
Schlagworte:
Collocation methods
Deviation
deviation of the error
Differential equations
Equations (Mathematics)
Error analysis
Error analysis (Mathematics)
Errors
exact finite difference
finite difference
integro-differential
integrodifferential
Mathematical analysis
Mathematical models
Mathematical research
Methods
Polynomials
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Beschreibung
Zusammenfassung:In this paper we study the deviation of the error estimation for the second order Fredholm-Volterra integro-differential equations. We prove that for m degree piecewise polynomial collocation method, our method provides O(h m+1 ) as the order of the deviation of the error. Also numerical results in the final section are included to confirm the theoretical results.
ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1214930