• Home
  • Basic function
    • List of Articles Basic function

      • Open Access Article

        1 - A simple algorithm for solving the Volterra integral equation featuring a weakly singular kernel
        M. Adabitabar Firozja B. Agheli
        There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fu More
        There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three examples of the effectiveness of the proposed method was evaluated. In all the calculations and diagrams of the software, Mathematica is used. The advantage of the proposed method is that the algorithm is simple, appropriate and consistent with the exact solution provides a numerical answer. Examples and results presented in the previous section suggest this claim. A fast algorithm for the numerical solution for converting n fuzzy partition is also provided. The speed and simplicity of the algorithm allow any author to obtain a numerical answer with the help of this method it used to take. Manuscript profile
      • Open Access Article

        2 - روش تقریبی برای حل معادله دیفرانسیل کسری انتقال پراکندگی
        اسماعیل بابلیان محمد ادبی تبارفیروزجا ذهرام عاقلی
        در این کار تحقیقاتی،  نشان داده شده است که می توان از روش تبدیل فازی (FTM) برای حل تقریبی معادله دیفرانسیل کسری انتقال پراکندگی (STFADE) استفاده کرد. مشتقات کسری از نوع کاپوتو در نظر گرفته شده اند. در روشهای عددی، برای تقریب یک تابع در یک بازه خاص ، فقط از تعداد مح More
        در این کار تحقیقاتی،  نشان داده شده است که می توان از روش تبدیل فازی (FTM) برای حل تقریبی معادله دیفرانسیل کسری انتقال پراکندگی (STFADE) استفاده کرد. مشتقات کسری از نوع کاپوتو در نظر گرفته شده اند. در روشهای عددی، برای تقریب یک تابع در یک بازه خاص ، فقط از تعداد محدودی از نقاط استفاده می شود. با این حال ، چیزی که تبدیل فازی را بر سایر روشها ترجیح می دهد این است که از تمام نقاط در بازه استفاده می کند. نتایج عددی بدست آمده نشان می دهد که الگوریتم پیشنهادی راه حل تقریبی بسیار خوبی ارائه می دهد. Manuscript profile
      • Open Access Article

        3 - Identification of time-varying systems with smooth changes using basic Legendre functions
        Amir Yaghubi Hossein Rouzegar Mehrzad Nasirian
        In this paper, we identify "variable time systems with slow changes" using Legendre basic functions. Physical phenomena behave with time-varying behavior for a variety of reasons. To model these systems, we need models with time-dependent parameters. In this paper, in o More
        In this paper, we identify "variable time systems with slow changes" using Legendre basic functions. Physical phenomena behave with time-varying behavior for a variety of reasons. To model these systems, we need models with time-dependent parameters. In this paper, in order to identify, we consider a system that has time-varying parameters with slow changes. Select the input of this time-varying system of PRBS type, which is a frequency-rich signal. The results for noise cases are also largely acceptable. In this article, the system in question is called STV system for short. Manuscript profile
      • Open Access Article

        4 - An approximate method for solving fractional system differential equations
        Mohammad Adabitabar Firozja Bahram Agheli