Analysis and Application of Quadratic B-spline Interpolation for Boundary Value Problems

Analysis and Application of Quadratic B-spline Interpolation for Boundary Value Problems

Md. Asaduzzaman

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Liton Chandra Roy

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Md. Musa Miah

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Analysis and Application of Quadratic B-spline Interpolation for Boundary Value Problems

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Abstract

B-splines interpolations are very popular tools for interpolating the differential equations under boundary conditions which were pioneered by Maria et.al.[16] allowing us to approximate the ordinary differential equations (ODE). The purpose of this manuscript is to analyze and test the applicability of quadratic B-spline in ODEwithdata interpolation, and the solving of boundary value problems.A numerical example has been given and the error in comparison with the exact value has been shown in tabulated form, and also graphical representations are shown. Maple soft and MATLAB 7.0 are used here to calculate the numerical results and to represent the comparative graphs.

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16 Cites in Article

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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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How to Cite This Article

Md. Asaduzzaman. 2020. \u201cAnalysis and Application of Quadratic B-spline Interpolation for Boundary Value Problems\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F6).

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GJSFR Volume 20 Issue F6

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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: 11D09

Submission ReceivedAugust 1, 2020
Peer Review Double Blind
Handling Editor
Accepted August 24, 2020
Published September 7, 2020

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September 30, 2020

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