Hybrid Block Method for Direct Integration of First, Second and Third Order IVPs

Adeyemi OLAGUNJU; Emmanuel ADEYEFA

Makale detayları

Hybrid Block Method for Direct Integration of First, Second and Third Order IVPs

Yazarlar:

Adeyemi OLAGUNJU | Emmanuel ADEYEFA

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 1, pp.1-8

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000903178

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 

Construction of numerical methods for the solution of initial value problems (IVPs) in ordinary differential equations (ODEs) has been considered overwhelmingly in literature. However, the use of a single numerical method for the integration of ODEs of more than one order has not been commonly reported.  In this paper, we focus on the development of a numerical method capable of obtaining the numerical solution of first, second and third-order IVPs. The method is formulated from continuous schemes obtained via collocation and interpolation techniques and applied in a block-by-block manner as a numerical integrator for first, second and third-order ODEs. The convergence properties of the method are discussed via zero-stability and consistency. Numerical examples are included and comparisons are made with existing methods in the literature.

Makale detayları

Hybrid Block Method for Direct Integration of First, Second and Third Order IVPs

Yazarlar: Adeyemi OLAGUNJU | Emmanuel ADEYEFA

Yayıncı: Cankaya University

Ana Başlıklar: Uygulamalı fizik

Dergi: Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 1, pp.1-8

Belge Tipi: Makale

Yayın Tarihi: 4/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000903178

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Adeyemi OLAGUNJU | Emmanuel ADEYEFA

Yayıncı:

Cankaya University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Cankaya University Journal of Science and Engineering 2021 Vol.18 Issue 1, pp.1-8

Belge Tipi:

Makale

Yayın Tarihi:

4/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000903178

Sıklık:

İki Yıllık

eISSN:

2564-7954