Zainab Ayati
Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan P.C.44891-Rudsar-Vajargah,Iran
[ 1 ] - The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
In recent years, numerous approaches have been applied for finding the solutions of functional equations. One of them is the optimal homotopy asymptotic method. In current paper, this method has been applied for obtaining the approximate solution of Fisher equation. The reliability of the method will be shown by solving some examples of various kinds and comparing the obtained outcomes with the ...
[ 2 ] - Jacobi Operational Matrix Approach for Solving Systems of Linear and Nonlinear Integro-Differential Equations
This paper aims to construct a general formulation for the shifted Jacobi operational matrices of integration and product. The main aim is to generalize the Jacobi integral and product operational matrices to the solving system of Fredholm and Volterra integro--differential equations which appear in various fields of science such as physics and engineering. The Operational matr...
[ 3 ] - Application of the Lie Symmetry Analysis for second-order fractional differential equations
Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issue among mathematicians and engineers, specifically in recent years. The purpose of this paper Lie Symmetry method is developed to solve second-order fractional differential equations, based on conformable fractional derivative. Some numerical examples are presented to il...
[ 4 ] - کاربردهای روش تابع نمایی چندگانه برای به دست آوردن جوابهای سولیتونی معادلۀ کالوجروـ‌بوگویاولنسکی‌ـ‌اسچیف
در فیزیک و ریاضی، تحقیق دربارۀ جوابهای دقیق معادلات دیفرانسیل غیرخطی از اهمیت بسیاری برخوردار است. جوابهای دقیق نقش مهمی را در درک ویژگی‌ها و کیفیت پدیده‌های غیرخطی ایفا می‌کنند. دسته گسترده‌ای از جوابهای دقیق معادلات دیفرانسیل غیرخطی جوابهای سولیتونی میباشند. مطالعه سولیتونها به دلیل کاربرد فراوانشان در علوم مختلف مانند مکانیک سیالات، فیزیک پلاسما، ستاره‌شناسی، انتشارسیگنال ها در فیبرهای...
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