Sara Hosseini
Qazvin Branch, Islamic Azad University
[ 1 ] - Numerical Solution of The First-Order Evolution Equations by Radial Basis Function
In this work, we consider the nonlinear first-order evolution equations: $u_t=f(x,t,u,u_x,u_{xx})$ for $0 to initial condition $u(x,0)=g(x)$, where $u$ is a function of $x$ and $t$ and $f$ is a known analytic function. The purpose of this paper is to introduce the method of RBF to existing method in solving nonlinear first-ord...
[ 2 ] - 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...
[ 3 ] - Numerical 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.
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