A Modified Taylor Series Expansion Method for Solving Fredholm Integro-Differential Equations

A Modified Taylor Series Expansion Method for Solving Fredholm Integro-Differential Equations

Itthithep Navarasuchitr

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Srinakharinwirot University

A Modified Taylor Series Expansion Method for Solving Fredholm Integro-Differential Equations

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Abstract

In this paper, we use a modified Taylor series expansion method for solving the linear Fredholm integro-differential equations. This method transfroms the equation to linear system equations that can be solved easily with reduced row echelon method. Finally, we show the efficiency of this method with numerical examples by comparing the approximate solutions with exact solutions.

References

11 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Itthithep Navarasuchitr. 2021. \u201cA Modified Taylor Series Expansion Method for Solving Fredholm Integro-Differential Equations\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 21 (GJSFR Volume 21 Issue F3).

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GJSFR Volume 21 Issue F3

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification MSC 2010: 45D05; 45E10; 65M20

Submission ReceivedMay 20, 2021
Peer Review Double Blind
Handling Editor
Accepted June 19, 2021
Published July 1, 2021

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v1.2

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July 2, 2021

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