Deviation of the Error Estimation for Second Order Fredholm-Volterra Integro Differential Equations. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Parvaz, Reza; Zarebnia, Mohammad; Saboor Bagherzadeh, Amir
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 719
• Page End: 740
• Publication Date: 2016-11-01
• Subjects: deviation of the error -- finite difference -- exact finite difference -- integro-differential; 41A25 -- 45J05 -- 65N35; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1214930
• Languages: English
• ISSNs: 1392-6292

Abstract

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 ( 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.