TY - CHAP
T1 - Modified Some n-Point Fractional Formulae with Richardson Extrapolation
AU - Batiha, Iqbal M.
AU - Jebril, Iqbal
AU - Alshorm, Shameseddin
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2025.
PY - 2025
Y1 - 2025
N2 - This chapter intends to introduce some new n-point fractional formulas for finding an approximation for Caputo fractional differentiator. These formulas are regarded as generalizations of some n-point classical formulas for finding good approximations for the first and second classical derivatives. This would enable us to study some functions behaviors in accordance with various fractional-order values. For the purpose of achieving a high degree of precision for the acquired approaches, we employ the so-called Richardson extrapolation approach, furthermore, to demonstrate the dependability and validity of our approximations, we provide several numerical simulations via tables and graphs.
AB - This chapter intends to introduce some new n-point fractional formulas for finding an approximation for Caputo fractional differentiator. These formulas are regarded as generalizations of some n-point classical formulas for finding good approximations for the first and second classical derivatives. This would enable us to study some functions behaviors in accordance with various fractional-order values. For the purpose of achieving a high degree of precision for the acquired approaches, we employ the so-called Richardson extrapolation approach, furthermore, to demonstrate the dependability and validity of our approximations, we provide several numerical simulations via tables and graphs.
UR - https://www.scopus.com/pages/publications/105000393016
U2 - 10.1007/978-981-97-8715-9_7
DO - 10.1007/978-981-97-8715-9_7
M3 - Chapter
AN - SCOPUS:105000393016
T3 - Forum for Interdisciplinary Mathematics
SP - 133
EP - 162
BT - Forum for Interdisciplinary Mathematics
PB - Springer
ER -