Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods

Oluwaseun ADEYEYE; Zurni OMAR

Makale detayları

Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods

Yazarlar:

Oluwaseun ADEYEYE | Zurni OMAR

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 2, pp.608-614

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000428010

eISSN:

2147-1762

Özet:

 


This article introduces two approaches to
develop block methods for solving second order ordinary differential equations
directly. Both approaches, namely a new linear block approach and the modified
Taylor series approach are capable of producing a family of methods that will
simultaneously approximate the solutions of any ordinary differential equation
at the respective grid points of the block method. The computational
complexities of both approaches are examined, and the results show the new
linear block approach require less computations compared to the modified Taylor
series approach.



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Makale detayları

Computational Complexity Comparison of a New Linear Block Approach and Modified Taylor Series Approach for Developing k-Step Third Derivative Block Methods

Yazarlar: Oluwaseun ADEYEYE | Zurni OMAR

Yayıncı: Gazi University

Ana Başlıklar: Uygulamalı fizik

Dergi: Gazi University Journal of Science 2019 Vol.32 Issue 2, pp.608-614

Belge Tipi: Makale

Yayın Tarihi: 5/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000428010

eISSN: 2147-1762

Sayı

Yazarlar:

Oluwaseun ADEYEYE | Zurni OMAR

Yayıncı:

Gazi University

Ana Başlıklar:

Uygulamalı fizik

Dergi:

Gazi University Journal of Science 2019 Vol.32 Issue 2, pp.608-614

Belge Tipi:

Makale

Yayın Tarihi:

5/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000428010

eISSN:

2147-1762