Open AccessThe Numerical Solutions of Nonlinear Time-Fractional Differential Equations by LMADM
Author(s) -
Hameeda Oda Al-Humedi,
Faeza Lafta Hasan
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.si.2.2
Subject(s) - laplace transform , mathematics , nonlinear system , adomian decomposition method , laplace transform applied to differential equations , convergence (economics) , mathematical analysis , fractional calculus , differential equation , physics , quantum mechanics , economic growth , economics
This paper presents a numerical scheme for solving nonlinear time-fractional differential equations in the sense of Caputo. This method relies on the Laplace transform together with the modified Adomian method (LMADM), compared with the Laplace transform combined with the standard Adomian Method (LADM). Furthermore, for the comparison purpose, we applied LMADM and LADM for solving nonlinear time-fractional differential equations to identify the differences and similarities. Finally, we provided two examples regarding the nonlinear time-fractional differential equations, which showed that the convergence of the current scheme results in high accuracy and small frequency to solve this type of equations.