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

Article Details

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

Authors:

Oluwaseun ADEYEYE | Zurni OMAR

Publisher:

Gazi University

Main Topics:

Applied physics

Journal:

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

Document Type:

Article

Publication Date:

5/2019

Document Language:

English

Document ID (Org No.):

2000428010

eISSN:

2147-1762

Abstract:

 


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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Article Details

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

Authors: Oluwaseun ADEYEYE | Zurni OMAR

Publisher: Gazi University

Main Topics: Applied physics

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

Document Type: Article

Publication Date: 5/2019

Document Language: English

Document ID (Org No.): 2000428010

eISSN: 2147-1762

Issues

Authors:

Oluwaseun ADEYEYE | Zurni OMAR

Publisher:

Gazi University

Main Topics:

Applied physics

Journal:

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

Document Type:

Article

Publication Date:

5/2019

Document Language:

English

Document ID (Org No.):

2000428010

eISSN:

2147-1762