Numerical solution of Drinfeld-Sokolov-Wilso system by using modified Adomian decomposition method
In this paper, the modified Adomian decomposition method (MADM) is usedto solve different types of differential equations, one of the numerical analysis methods for solving non linear partial differential equations (Drinfeld-Sokolov-Wilson system) and short (DSWS) that occur in shallow water flows....
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| Format: | EJournal Article |
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Institute of Advanced Engineering and Science,
2021-07-01.
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| LEADER | 02396 am a22003133u 4500 | ||
|---|---|---|---|
| 001 | ijeecs24748_15232 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Salim, Badran Jasim |e author |
| 100 | 1 | 0 | |e contributor |
| 700 | 1 | 0 | |a Jasim, Oday Ahmed |e author |
| 700 | 1 | 0 | |a Ali, Zeiad Yahya |e author |
| 245 | 0 | 0 | |a Numerical solution of Drinfeld-Sokolov-Wilso system by using modified Adomian decomposition method |
| 260 | |b Institute of Advanced Engineering and Science, |c 2021-07-01. | ||
| 500 | |a https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24748 | ||
| 520 | |a In this paper, the modified Adomian decomposition method (MADM) is usedto solve different types of differential equations, one of the numerical analysis methods for solving non linear partial differential equations (Drinfeld-Sokolov-Wilson system) and short (DSWS) that occur in shallow water flows. A Genetic Algorithm was used to find the optimal value for the parameter (a). We numerically solved the system (DSWS) and compared the result to the exact solution. When the value of it is low and close to zero, the MADM provides an excellent approximation to the exact solution. As well as the lower value of leads to the numerical algorithm of (MADM) approaching the real solution. Finally, found the optimal value when a=-10 by using the Genetic Algorithm (G-MADM). All the computations were carried out with the aid of Maple 18 and Matlab to find the parameter value (a) by using the genetic algorithm as well as to figures drawing. The errors in this paper resulted from cut errors and mean square errors. | ||
| 540 | |a Copyright (c) 2021 Institute of Advanced Engineering and Science | ||
| 540 | |a http://creativecommons.org/licenses/by-nc/4.0 | ||
| 546 | |a eng | ||
| 690 | |||
| 690 | |a Modified adomian decomposition method; Nonlinear partia ldifferential equations; Nonlinear System; Drinfeld-Sokolov-Wilso; Genetic algorithm | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |2 local | |
| 786 | 0 | |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 23, No 1: July 2021; 590-599 | |
| 786 | 0 | |n 2502-4760 | |
| 786 | 0 | |n 2502-4752 | |
| 786 | 0 | |n 10.11591/ijeecs.v23.i1 | |
| 787 | 0 | |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24748/15232 | |
| 856 | 4 | 1 | |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/24748/15232 |z Get fulltext |