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Ige, Olufemi, Oderinu, Razak, Elzaki, Tarig. (1398). Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation. پژوهشنامه مدیریت اجرایی, 8(2), 103-119. doi: 10.22080/cjms.2018.14486.1346
Olufemi Elijah Ige; Razak Adekola Oderinu; Tarig Mohyeldin Elzaki. "Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation". پژوهشنامه مدیریت اجرایی, 8, 2, 1398, 103-119. doi: 10.22080/cjms.2018.14486.1346
Ige, Olufemi, Oderinu, Razak, Elzaki, Tarig. (1398). 'Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation', پژوهشنامه مدیریت اجرایی, 8(2), pp. 103-119. doi: 10.22080/cjms.2018.14486.1346
Ige, Olufemi, Oderinu, Razak, Elzaki, Tarig. Adomian Polynomial and Elzaki Transform Method of Solving Fifth Order Korteweg-De Vries Equation. پژوهشنامه مدیریت اجرایی, 1398; 8(2): 103-119. doi: 10.22080/cjms.2018.14486.1346

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

Caspian Journal of Mathematical Sciences
مقاله 3، دوره 8، شماره 2، آبان 2019، صفحه 103-119    اصل مقاله (212.69 K)
نوع مقاله: Research Articles
شناسه دیجیتال (DOI): 10.22080/cjms.2018.14486.1346
نویسندگان
Olufemi Elijah Ige* 1؛ Razak Adekola Oderinu2؛ Tarig Mohyeldin Elzaki3
1Department of Mathematics and Physics, School of Engineering science, Lappeenranta University of Technology, Lappeenranta, Finland.
2Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, P.M.B 4000, Oyo state, Nigeria.
3Mathematics Department, Faculty of Science and Arts -Alkamil, University of Jeddah, Jeddah, Saudi Arabia
تاریخ دریافت: 28 تیر 1397،  تاریخ بازنگری: 11 آبان 1397،  تاریخ پذیرش: 29 آبان 1397 
چکیده
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.
کلیدواژه‌ها
Elzaki transform method؛ Adomian polynomial؛ Fifth order KdV equations
عنوان مقاله [English]
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چکیده [English]
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