Sinc Based Method For The Approximation Of Indefinite Integral

A variable transformation function incorporated with the sinc procedure was employed in the numerical approximation of indefinite integrals that are analytic in (0, s). The modified error function used for this process proved to be efficient for the computation and showed an improved convergence of order CN1/3exp(-N2/3) thus converging faster when compared to results obtained using the numerical procedure based on the modified tanh function as number of evaluation N increases. Numerical examples are given in this work to demonstrate the procedure.

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Publication Details

Journal
Afrischolar Discovery (Annex)
Published
2024-08-11
DOI
https://doi.org/10.60951/afrischolar-296
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
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Sinc Based Method For The Approximation Of Indefinite Integral

Afrischolar Discovery (Annex)
Iterative Methods for Nonlinear Equations
article

Sinc Based Method For The Approximation Of Indefinite Integral

article en

Abstract

A variable transformation function incorporated with the sinc procedure was employed in the numerical approximation of indefinite integrals that are analytic in (0, s). The modified error function used for this process proved to be efficient for the computation and showed an improved convergence of order CN1/3exp(-N2/3) thus converging faster when compared to results obtained using the numerical procedure based on the modified tanh function as number of evaluation N increases. Numerical examples are given in this work to demonstrate the procedure.

Afrischolar Discovery (Annex)
Akwa Ibom State University (NG)
Openalex Percentile: Top 46%
Iterative Methods for Nonlinear Equations
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Sinc Based Method For The Approximation Of Indefinite Integral · Afrischolar Discovery (Annex) (2024) | TGRS Research Map | TGRS