Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations

Muideen OGUNNİRAN; Yahaya HARUNA; Rapheal ADENİYİ; Morufu Oyedunsi OLAYİWOLA

Makale detayları

Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations

Yazarlar:

Muideen OGUNNİRAN | Yahaya HARUNA | Rapheal ADENİYİ | Morufu Oyedunsi OLAYİWOLA

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2020 Vol.17 Issue 2, pp.80-95

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000903197

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 

This paper presents the construction and implementation of a three-step optimized hybrid method for solving stiff system of first order initial value problems of ordinary differential equations. The method contains six implicit formulas which were obtained from a continuous approximation, using shifted chebyshev polynomial as the basis function, via evaluations at six different points on the selected three-step including three optimized intra-step points. The method is consistent, zero-stable and convergent. Numerical experiments are included to show the competitive and superior strength of the proposed method for solving these kinds of problems over similar properties of methods in literature.

Makale detayları

Optimized Three-step Hybrid Block Method for Stiff Problems in Ordinary Differential Equations

Yazarlar: Muideen OGUNNİRAN | Yahaya HARUNA | Rapheal ADENİYİ | Morufu Oyedunsi OLAYİWOLA

Yayıncı: Cankaya University

Ana Başlıklar: Uygulamalı fizik

Dergi: Cankaya University Journal of Science and Engineering 2020 Vol.17 Issue 2, pp.80-95

Belge Tipi: Makale

Yayın Tarihi: 10/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000903197

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Muideen OGUNNİRAN | Yahaya HARUNA | Rapheal ADENİYİ | Morufu Oyedunsi OLAYİWOLA

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2020 Vol.17 Issue 2, pp.80-95

Belge Tipi:

Makale

Yayın Tarihi:

10/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000903197

Sıklık:

İki Yıllık

eISSN:

2564-7954