Sinc Based Method For The Approximation Of Indefinite Integral

2024/08/11 by John, Eno, Gregory, A. George
#Error function #Sinc method #convergence #cumulative distribution function #indefinite integral

paper · doi:10.60951/afrischolar-296

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.

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