A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions
Radial basis function method has been used to handle linear and nonlinear equations. The purpose of this paper is to introduce the method of RBF to an existing method in solving nonlinear two-level iterative techniques and also the method is implemented to four numerical examples. The results reveal that the technique is very effective and simple. Th...
متن کاملEfficient Solution of Nonlinear Duffing Oscillator
In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...
متن کاملNumerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions
In this work, we consider the parabolic equation: $u_t-u_{xx}=0$. The purpose of this paper is to introduce the method of variational iteration method and radial basis functions for solving this equation. Also, the method is implemented to three numerical examples. The results reveal that the technique is very effective and simple.
متن کاملUsing Chebyshev polynomial’s zeros as point grid for numerical solution of nonlinear PDEs by differential quadrature- based radial basis functions
Radial Basis Functions (RBFs) have been found to be widely successful for the interpolation of scattered data over the last several decades. The numerical solution of nonlinear Partial Differential Equations (PDEs) plays a prominent role in numerical weather forecasting, and many other areas of physics, engineering, and biology. In this paper, Differential Quadrature (DQ) method- based RBFs are...
متن کاملTHE COMPARISON OF EFFICIENT RADIAL BASIS FUNCTIONS COLLOCATION METHODS FOR NUMERICAL SOLUTION OF THE PARABOLIC PDE’S
In this paper, we apply the compare the collocation methods of meshfree RBF over differential equation containing partial derivation of one dimension time dependent with a compound boundary nonlocal condition.
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: Computers & Mathematics with Applications
سال: 2012
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2012.03.104