By using a new iterative method to the generalized System Zakharov-Kuznetsov and estimate the best parameters via applied the pso algorithm

abeer aldabagh


In this paper, a new iterative method was applied to the Zakharov-Kuznetsov system to obtain the approximate solution and the results were close to the exact solution, A new technique was proposed to reach the lowest possible error and the closest to exact solution to the new iterative method is to link the new iterative method with the pso algorithm Which is denoted by the symbol (NIM-PSO). The results of the proposed Technique showed that they are highly efficient and very close to the exact solution, and they are also of excellent effectiveness for treating partial differential equation systems.


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