Approximations solution for Fredholm and Volterra integro-differential equations

In this work we present new technical approach for numerical solution of Volterra and Fredholm integro-differential equations using a modified Taylor series method and modified integration method with Lagrange polynomials. For each method we present some examples compared with others in order to illustrate accuracy and efficiency of our two methods.

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Publication Details

Journal
Revista Educación en Ingeniería
Published
2025-04-01
DOI
https://doi.org/10.26507/rei.v20n39.1339
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Approximations solution for Fredholm and Volterra integro-differential equations

Revista Educación en Ingeniería
Geochemistry and Geologic Mapping
article

Approximations solution for Fredholm and Volterra integro-differential equations

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Abstract

In this work we present new technical approach for numerical solution of Volterra and Fredholm integro-differential equations using a modified Taylor series method and modified integration method with Lagrange polynomials. For each method we present some examples compared with others in order to illustrate accuracy and efficiency of our two methods.

Revista Educación en IngenieríaVol. 20(39)
Carthage College (US), University of Carthage (TN)
Openalex Percentile: Top 38%
Geochemistry and Geologic Mapping
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Approximations solution for Fredholm and Volterra integro-differential equations · Revista Educación en Ingeniería (2025) | TGRS Research Map | TGRS