چکیده مقاله
In this literature, set of complicated nonlinear differential equations in the field ofengineering have been analyzed and solved completely by algebraic method and we havenamed it enhanced Akbari Ganji Method AGME As regards the previous publishedpapers, investigating this kind of equations is a very hard task to do and the obtainedsolution is not accurate and reliable This issue will be emerged after comparing theachieved solutions by Numerical Method Num Rk 45 or the Exact Solution Based on thecomparisons which have been made between the gained solutions by AGM and NumericalMethod, it is possible to indicate that AGM can be successfully applied for variousdifferential equations particularly for difficult ones Furthermore, It is necessary tomention that a summary of the excellence of this method in comparison with the otherapproaches can be considered as follows: Boundary conditions are needed in accordancewith the order of differential equations in the solution procedure but when the number ofboundary conditions is less than the order of the differential equation, this approach cancreate additional new boundary conditions in regard to the own differential equation andits derivatives Therefore, it is logical to mention that AGM is operational for miscellaneousnonlinear differential equations in comparison with the other methods
کلیدواژهها
نویسندگان
Nasrin Hasanvand
Department of Mathematica l , Lorestan university, Iran
M.R. Akbari
Department of Civil Engineering and Chemical Engineering, Germany
شیوه ارجاع
Hasanvand, Nasrin and Akbari, M.R.,1402,Analytical Solving set of Nonlinear Differential Equationsin Engineering Fields and Basic Scienceby Enhanced AGM method,The first international conference on advanced research in civil engineering, architecture and urban planning
ارائهشده در
مجموعه مقالات اولین کنفرانس بین المللی تحقیقات پیشرفته در مهندسی عمران، معماری و شهرسازی20 تیر 1402