DEVIATION OF THE ERROR ESTIMATION FOR SECOND ORDER FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

DEVIATION OF THE ERROR ESTIMATION FOR SECOND ORDER FREDHOLM-VOLTERRA INTEGRO DIFFERENTIAL EQUATIONS

Published:2016-11-17 Issue:6 Volume:21 Page:719-740
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Parvaz Reza¹,Zarebnia Mohammad¹,Bagherzadeh Amir Saboor²

Affiliation:

1. University of Mohaghegh Ardabili

2. Bauhaus Universit¨at-Weimar

Abstract

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(hm+1) as the order of the deviation of the error. Also numerical results in the final section are included to confirm the theoretical results.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference10 articles.

1. Error estimation based on locally weighted defect for boundary value problems in second order ordinary differential equations

2. New a posteriori error estimates for singular boundary value problems

3. Collocation Methods for Volterra Integral and Related Functional Differential Equations

4. Collocation Methods for Integro-Differential Equations

5. Piecewise Polynomial Collocation for Fredholm Integro-Differential Equations with Weakly Singular Kernels

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