مشخصات پژوهش

عنوان	Solving one-dimensional nonlinear stochastic Sine-Gordon equation with a new meshfree technique
نوع پژوهش	مقاله چاپ‌شده در مجله
کلیدواژه‌ها	Brownian motion process, one-dimensional stochastic Sine-Gordon equation, radial basis function, stochastic partial differential equations
چکیده	In the current work, we consider the nonlinear one-dimensional stochastic Sine-Gordon equation with appropriate initial and boundary conditions. The main goal of this work is presenting a numerical scheme based on radial basis functions (RBFs) and finite difference method to provide the approximate solution of mentioned equation. For approximating the solution, finite difference idea is used to overcome the time variable and then strictly positive definite RBFs such as Gaussian have been used to estimate the unknown function in time step n. Finally, several examples are given to check the accuracy and efficiency of the provided solution.
پژوهشگران	فرشید میرزایی (نفر اول)، شادی رضایی (نفر دوم)، نسرین صمدیار (نفر سوم)