TY - JOUR
ID - 16317
TI - A one-step algorithm for strongly non-linear full fractional duffing equations
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Biazar, Jafar
AU - Ebrahimi, Hamed
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, P.C.4193822697, Rasht, Iran.
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box
41335-1914, P.C.4193822697, Rasht, Iran.
Y1 - 2024
PY - 2024
VL - 12
IS - 1
SP - 117
EP - 135
KW - Fractional Duffing differential equations
KW - Numerical algorithms
KW - Strongly nonlinear
KW - Quasi-hat function
KW - Fractional operational matrix
DO - 10.22034/cmde.2023.53596.2256
N2 - In the current study, a one-step numerical algorithm is presented to solve strongly non-linear full fractional duffing equations. A new fractional-order operational matrix of integration via quasi-hat functions (QHFs) is introduced. Utilizing the operational matrices of QHFs, the main problem will be transformed into a number of univariate polynomial equations. Absolute errors of the results in approximations and convergence analysis are addressed. Ultimately, five examples are provided to illustrate the capabilities of this algorithm. The numerical results are illustrated in some Tables and Figures, for different values of the parameters $\alpha~ and~ \beta$.
UR - https://cmde.tabrizu.ac.ir/article_16317.html
L1 - https://cmde.tabrizu.ac.ir/article_16317_6b1d2c3cf524ceb9b297eec09829c912.pdf
ER -