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Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation

عنوان مقاله: Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation
شناسه ملی مقاله: JR_CJMS-8-2_003
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:

- - - Department of Mathematics and Physics, School of Engineering science, Lappeenranta University of Technology, Lappeenranta, Finland.
- - - Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B ۴۰۰۰, Oyo state, Nigeria.
- - - Mathematics Department, Faculty of Science and Arts -Alkamil, University of Jeddah, Jeddah, Saudi Arabia

خلاصه مقاله:
Elzaki transform and Adomian polynomial is used to obtain the exact solutions of nonlinear fifth order Korteweg-de Vries (KdV) equations. In order to investigate the effectiveness of the method, three fifth order KdV equations were considered. Adomian polynomial is introduced as an essential tool to linearize all the nonlinear terms in any given equation because Elzaki transform cannot handle nonlinear functions on its own. In all the three problems considered, the series solutions obtained converges to the exact solutions. Three dimensional graphs were also plotted to give the shape of the solutions of some KdV equations considered. Hence, Elzaki transform and Adomian polynomial together gives a very powerful and ffective method for solving nonlinear partial differential equations.

کلمات کلیدی:
Elzaki transform method, Adomian polynomial, Fifth order KdV equations

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1153894/