Sumudu Homotopy Analysis Method to solved Generalized Hirota-Satsuma Coupled Kdv System
2023-11
Migration Letters (القضية : 5) (الحجم : 20)
In this work, we use the homotopy analysis method (HAM) and combine it with the
sumudu transform method (STM). This connection between the two methods is called the
Sumudu homotopy analysis method (SHAM), and we use the method to solve generalized
Hirota-Satsuma coupled kdv systems. And we compare the approximate solutions of this
method with the Sumudu transform method. Comparison tables and graphics showed that
SHAM is much closer than STM to the exact solution.
2022
SUMUDU-DECOMPOSITION METHOD TO SOLVE GENERALIZED HIROTASATSUMA COUPLED KDV SYSTEM
2022-04
Science journal of University of Zakho (القضية : 2) (الحجم : 10)
In this work, we take Adomian Decomposition Method (ADM) and combine it with Sumudu Transform method (STM). This
connection between the two methods is called Sumudu-Decomposition Method (SDM), then use it to solve generalized HirotaSatsuma Coupled kdv (H-SC kdv) systems and also we applied the STM, to find the approximate solutions of system one. Then
we compare the approximate solutions of the two way with exact solitary solutions. Clarifying the best way through tables and
drawings, then discussing the reason for the changes taking place in the roads and which one is closest to the exact solution.