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

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Itthithep Navarasuchitr
Itthithep Navarasuchitr
1 Srinakharinwirot University

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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.

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.

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Not applicable for 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
Pg. 81- 91
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 45D05; 45E10; 65M20
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v1.2

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July 2, 2021

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English

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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.

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

Itthithep Navarasuchitr
Itthithep Navarasuchitr Srinakharinwirot University

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