Half – Step Implicit Linear Multistep Hybrid Block Third Derivative Methods of Order Four for the Solution of Third order Ordinary Differential Equations

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Skwame, Yusuf
Skwame, Yusuf
2
Skwame
Skwame
3
Raymond
Raymond
4
Tumba
Tumba
5
Pius
Pius
6
Adiku
Adiku
7
Lydia
Lydia
1 Adamawa State University,

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GJSFR Volume 21 Issue F4

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Half – Step Implicit Linear Multistep Hybrid Block Third Derivative Methods of Order Four for the Solution of Third order Ordinary Differential Equations Banner
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This paper proposes a half-step third derivative hybrid block method with two cases of order four for solution of third Order Ordinary Differential Equations. Method of interpolation and collocation of power series approximate solution was used to generate the continuous hybrid linear multistep method, which was then evaluated at non-interpolating points to give a continuous block method. The discrete block method was recovered when the continuous block was evaluated at all step points. The basic properties of the methods were investigated and were found to be zero-stable, consistent and convergent. The develop half-step method is applied to solve some third order initial value problems of ordinary differential equations and from the numerical results obtained, it is observed that our methods gives better approximation than the existing method compared with.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Skwame, Yusuf. 2021. \u201cHalf – Step Implicit Linear Multistep Hybrid Block Third Derivative Methods of Order Four for the Solution of Third order Ordinary Differential Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F4): .

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Hybrid block diagram for fluid dynamics research.
Issue Cover
GJSFR Volume 21 Issue F4
Pg. 51- 66
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 33E30
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v1.2

Issue date

October 9, 2021

Language

English

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This paper proposes a half-step third derivative hybrid block method with two cases of order four for solution of third Order Ordinary Differential Equations. Method of interpolation and collocation of power series approximate solution was used to generate the continuous hybrid linear multistep method, which was then evaluated at non-interpolating points to give a continuous block method. The discrete block method was recovered when the continuous block was evaluated at all step points. The basic properties of the methods were investigated and were found to be zero-stable, consistent and convergent. The develop half-step method is applied to solve some third order initial value problems of ordinary differential equations and from the numerical results obtained, it is observed that our methods gives better approximation than the existing method compared with.

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Half – Step Implicit Linear Multistep Hybrid Block Third Derivative Methods of Order Four for the Solution of Third order Ordinary Differential Equations

Skwame
Skwame
Raymond
Raymond
Tumba
Tumba
Pius
Pius
Adiku
Adiku
Lydia
Lydia

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