İNTEGRO-DİFERANSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMÜNE UYGULANAN KOLLOKASYON YÖNTEMİ-Reference-Cited by-同舟云学术

İNTEGRO-DİFERANSİYEL DENKLEMLERİN SAYISAL ÇÖZÜMÜNE UYGULANAN KOLLOKASYON YÖNTEMİ

Published:2023-12-03 Issue:4 Volume:26 Page:1010-1020
ISSN:1309-1751
Container-title:Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi
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Author:

DURAK Birkan¹^ORCID,SEZGİN Aziz²^ORCID,ÖZER Hasan Ömür³^ORCID,SAKMAN Lütfi Emir⁴^ORCID,KAPKIN Şule⁵^ORCID

Affiliation:

1. İSTANBUL ÜNİVERSİTESİ-CERRAHPAŞA, TEKNİK BİLİMLER MESLEK YÜKSEKOKULU, MOTORLU ARAÇLAR VE ULAŞTIRMA TEKNOLOJİLERİ BÖLÜMÜ, UÇAK TEKNOLOJİSİ PR.

2. İSTANBUL ÜNİVERSİTESİ-CERRAHPAŞA, MÜHENDİSLİK FAKÜLTESİ, MAKİNE MÜHENDİSLİĞİ BÖLÜMÜ, OTOMOTİV ANABİLİM DALI

3. İSTANBUL ÜNİVERSİTESİ-CERRAHPAŞA, TEKNİK BİLİMLER MESLEK YÜKSEKOKULU, ELEKTRİK VE ENERJİ BÖLÜMÜ, İKLİMLENDİRME VE SOĞUTMA TEKNOLOJİSİ PR.

4. İSTANBUL ÜNİVERSİTESİ-CERRAHPAŞA, MÜHENDİSLİK FAKÜLTESİ, MAKİNE MÜHENDİSLİĞİ BÖLÜMÜ, MAKİNE TEORİSİ VE DİNAMİĞİ ANABİLİM DALI

5. İSTANBUL ÜNİVERSİTESİ-CERRAHPAŞA, MÜHENDİSLİK FAKÜLTESİ, MAKİNE MÜHENDİSLİĞİ BÖLÜMÜ, ENERJİ ANABİLİM DALI

Abstract

Integro-differential equations are encountered in such fields of study as mechanics, physics, chemistry, biophysics, astronomy, economic theory, and population dynamics. In rare cases the solution methods for differential and/or integral equations can be generalized to integro-differential equations; but in general, numerical methods have to be applied. Recent years have seen the development of a large number of methods applicable to integro-differential equations. The present study aims to compare these newer methods with the classical method of point collocation, which is one of the weighted residual methods. The method was applied to test problems chosen from the literature, both linear and nonlinear integro-differential equations, and was seen to give good results.

Publisher

Kahramanmaras Sutcu Imam University Journal of Engineering Sciences

Subject

General Earth and Planetary Sciences,General Environmental Science

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