Solution of nonlinear ordinary differential equations by feedforward neural networks

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Solution of Nonlinear Ordinary Differential Equations by Feedforward Neural Networks

It is demonstrated, through theory and numerical examples, how it is possible to directly construct a feed-forward neural network to approximate nonlinear ordinary diierential equations without the need for training. The method, utilizing a piecewise linear map as the activation function, is linear in storage, and the L 2 norm of the network approximation error decreases monotonically with the ...

متن کامل

Numerical Simulation of Fuzzy Nonlinear Equations by Feedforward Neural Networks

Fuzzy set theory is considered as a suitable setting in order to take vagueness of real world problems into considerations. Operating with fuzzy dependencies among fuzzy data is a challenging problem, because it requires special arithmetic and a powerful optimization technique. The concept of fuzzy numbers and arithmetic operation with these numbers were first introduced and investigated by Zad...

متن کامل

Nonlinear Ordinary Differential Equations

Most physical processes are modeled by differential equations. First order ordinary differential equations, also known as dynamical systems, arise in a wide range of applications, including population dynamics, mechanical systems, planetary motion, ecology, chemical diffusion, etc., etc. See [19, 72,ODES] for additional material and applications. The goal of this chapter is to study and solve i...

متن کامل

APPLICATION NEURAL NETWORK TO SOLVE ORDINARY DIFFERENTIAL EQUATIONS

In this paper, we introduce a hybrid approach based on neural network and optimization teqnique to solve ordinary differential equation. In proposed model we use heyperbolic secont transformation function in hiden layer of neural network part and bfgs teqnique in optimization part. In comparison with existing similar neural networks proposed model provides solutions with high accuracy. Numerica...

متن کامل

Approximation Solution of Fractional Partial Differential Equations by Neural Networks

Neural networks with radial basis functions method are used to solve a class of initial boundary value of fractional partial differential equations with variable coefficients on a finite domain. It takes the case where a left-handed or right-handed fractional spatial derivative may be present in the partial differential equations. Convergence of this method will be discussed in the paper. A num...

متن کامل

ذخیره 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: Mathematical and Computer Modelling

سال: 1994

ISSN: 0895-7177

DOI: 10.1016/0895-7177(94)00160-x