TY - JOUR
T1 - A NUMERICAL SCHEME FOR DEALING WITH FRACTIONAL INITIAL VALUE PROBLEM
AU - Batiha, Iqbal M.
AU - Bataihah, Anwar
AU - Al-Nana, Abeer A.
AU - Alshorm, Shameseddin
AU - Jebril, Iqbal H.
AU - Zraiqat, Amjed
N1 - Publisher Copyright:
© ICIC International.
PY - 2023/6
Y1 - 2023/6
N2 - This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.
AB - This paper aims to present a new numerical modification for solving fractional initial value problem. The proposed modification, which is named Modified Fractional Euler Method (MFEM), attempts to further improve the Fractional Euler Method (FEM) in terms of attaining more accuracy. The error bound generated by the proposed method is analysed and estimated by demonstrating a specific theoretical result. In order to validate the efficiency of the proposed method, several numerical comparisons are performed using MATLAB routines.
KW - Caputo fractional derivative operator
KW - Fractional Euler method
KW - Fractional differential equations
UR - http://www.scopus.com/inward/record.url?scp=85158820230&partnerID=8YFLogxK
U2 - 10.24507/ijicic.19.03.763
DO - 10.24507/ijicic.19.03.763
M3 - Article
AN - SCOPUS:85158820230
SN - 1349-4198
VL - 19
SP - 763
EP - 774
JO - International Journal of Innovative Computing, Information and Control
JF - International Journal of Innovative Computing, Information and Control
IS - 3
ER -