Computational Analysis Of Fractional Volterrafredholm Integro-Differential Equation Using Eulerian Polynomial Basis Function

This study develops a novel eulerian polynomial function for fractionallydifferentiated Linear Volterra-Fredholm Integro-differential equations (LVFIDEs). The procedure is developed and evaluated against the current set of Lagrange polynomials (LPs); In order to achieve the best results and implementation of these kinds, a general algorithm is recommended and examples are provided. Additionally, using MATLAB 2009 software, a special case fractional differential equation is used to assess the viability of the suggested approach. In order to assess how well the suggested strategy solves difficulties, comparisons between it and current approaches are finally provided.

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Publication Details

Journal
Afrischolar Discovery
Published
2024-10-13
DOI
https://doi.org/10.60787/jnamp.v68no1.430
Primary Topic
Human Mobility and Location-Based Analysis
Type
article
Field-Weighted Citation Impact
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article

Computational Analysis Of Fractional Volterrafredholm Integro-Differential Equation Using Eulerian Polynomial Basis Function

Afrischolar Discovery
Human Mobility and Location-Based Analysis
article

Computational Analysis Of Fractional Volterrafredholm Integro-Differential Equation Using Eulerian Polynomial Basis Function

article en

Abstract

This study develops a novel eulerian polynomial function for fractionallydifferentiated Linear Volterra-Fredholm Integro-differential equations (LVFIDEs). The procedure is developed and evaluated against the current set of Lagrange polynomials (LPs); In order to achieve the best results and implementation of these kinds, a general algorithm is recommended and examples are provided. Additionally, using MATLAB 2009 software, a special case fractional differential equation is used to assess the viability of the suggested approach. In order to assess how well the suggested strategy solves difficulties, comparisons between it and current approaches are finally provided.

Afrischolar Discovery
Federal University of Agriculture, Abeokuta (NG)
Openalex Percentile: Top 33%
Human Mobility and Location-Based Analysis
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