Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method
نویسندگان
چکیده
In this study, the implantation of a new semi-analytical method called optimal auxiliary function (OAFM) has been extended to partial differential equations. The adopted was tested upon for approximate solution generalized modified b-equation. first-order numerical obtained by OAFM compared with variational homotopy perturbation (VHPM). possesses and control parameters which can be easily handled during simulation nonlinear problem. From graphical results, we concluded is very effective easy implement PDEs.
منابع مشابه
Approximate Solution of the Second Order Initial Value Problem by Using Epsilon Modified Block-Pulse Function
The present work approaches the problem of achieving the approximate solution of the second order initial value problems (IVPs) via its conversion into a Volterra integral equation of the second kind (VIE2). Therefore, we initially solve the IVPs using Runge–Kutta of the forth–order method (RK), and then convert it into VIE2, and apply the εmodified block–pulse functions (εMBPFs) and their oper...
متن کاملApproximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method
In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...
متن کاملsolution of security constrained unit commitment problem by a new multi-objective optimization method
چکیده-پخش بار بهینه به عنوان یکی از ابزار زیر بنایی برای تحلیل سیستم های قدرت پیچیده ،برای مدت طولانی مورد بررسی قرار گرفته است.پخش بار بهینه توابع هدف یک سیستم قدرت از جمله تابع هزینه سوخت ،آلودگی ،تلفات را بهینه می کند،و هم زمان قیود سیستم قدرت را نیز برآورده می کند.در کلی ترین حالتopf یک مساله بهینه سازی غیر خطی ،غیر محدب،مقیاس بزرگ،و ایستا می باشد که می تواند شامل متغیرهای کنترلی پیوسته و گ...
Optimization of Solution Regularized Long-wave Equation by Using Modified Variational Iteration Method
In this paper, a regularized long-wave equation (RLWE) is solved by using the Adomian's decomposition method (ADM) , modified Adomian's decomposition method (MADM), variational iteration method (VIM), modified variational iteration method (MVIM) and homotopy analysis method (HAM). The approximate solution of this equation is calculated in the form of series which its components are computed by ...
متن کاملA numerical solution of Burgers' equation by modified Adomian method
In this paper, the modified Adomian s decomposition method for calculating a numerical solution of the one-dimensional quasi-linear, the Burgers equation, is presented. Time discretization has been used in decomposition, without using any transformation in the Burgers equation such as Hopf–Cole transformation. The numerical results obtained by this way for various values of viscosity have been ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International journal of multidiciplinaries
سال: 2022
ISSN: ['2790-3257', '2790-1998']
DOI: https://doi.org/10.54938/ijemdm.2022.01.1.2