TY - JOUR
AU - Mamman, John Ojima
AU - Aboiyar, Terhemen
PY - 2019/10/20
Y2 - 2023/01/29
TI - A Numerical Calculation of Arbitrary Integrals of Functions
JF - Advanced Journal of Graduate Research
JA - Adv. J. Grad. Res.
VL - 7
IS - 1
SE - Graduate Research Articles
DO - 10.21467/ajgr.7.1.11-17
UR - https://journals.aijr.org/index.php/ajgr/article/view/2000
SP - 11-17
AB - <p>This paper presents a numerical technique for solving fractional integrals of functions by employing the trapezoidal rule in conjunction with the finite difference scheme. The proposed scheme is only a simple modification of the trapezoidal rule, in which it is treated as an algorithm in a sequence of small intervals for finding accurate approximate solutions to the corresponding problems. This method was applied to solve fractional integral of arbitrary order α > 0 for various values of alpha. The fractional integrals are described in the Riemann-Liouville sense. Figurative comparisons and error analysis between the exact value, two-point and three-point central difference formulae reveal that this modified method is active and convenient.</p>
ER -