Numerical solution of two-dimensional stochastic time-fractional Sine–Gordon equation on non-rectangular domains using finite difference and meshfree methods
Abstract The nonlinear Sine-Gordon equation is one of the widely used partial differential
equations that appears in various sciences and engineering. The main purpose of writing …
equations that appears in various sciences and engineering. The main purpose of writing …
Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations
One of the most powerful tools for solving partial differential equations is approximation
using the radial basis functions (RBFs). This method can be very spectrally accurate …
using the radial basis functions (RBFs). This method can be very spectrally accurate …
Solution of time‐fractional stochastic nonlinear sine‐Gordon equation via finite difference and meshfree techniques
In this article, we introduce a numerical procedure to solve time‐fractional stochastic sine‐
Gordon equation. The suggested technique is based on finite difference method and radial …
Gordon equation. The suggested technique is based on finite difference method and radial …
Implicit meshless method to solve 2D fractional stochastic Tricomi‐type equation defined on irregular domain occurring in fractal transonic flow
In the current paper, we develop a new method based on the finite difference formulation
and meshless method to solve 2D time fractional stochastic Tricomi‐type equation with …
and meshless method to solve 2D time fractional stochastic Tricomi‐type equation with …
[HTML][HTML] Cubic B-spline approximation for linear stochastic integro-differential equation of fractional order
In this paper, the cubic B-spline collocation method is used for solving the stochastic integro-
differential equation of fractional order. we show that stochastic integro-differential equation …
differential equation of fractional order. we show that stochastic integro-differential equation …
Finite difference and spline approximation for solving fractional stochastic advection-diffusion equation
This paper is concerned with numerical solution of time fractional stochastic advection-
diffusion type equation where the first order derivative is substituted by a Caputo fractional …
diffusion type equation where the first order derivative is substituted by a Caputo fractional …
Wavelet collocation method based on Legendre polynomials and its application in solving the stochastic fractional integro-differential equations
This work is an extended version of the ICCS 2020 conference paper [1]. The paper aims to
present an efficient numerical method to quantify the uncertainty in the solution of stochastic …
present an efficient numerical method to quantify the uncertainty in the solution of stochastic …
Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations
The present article develops a semi-discrete numerical scheme to solve the time-fractional
stochastic advection–diffusion equations. This method, which is based on finite difference …
stochastic advection–diffusion equations. This method, which is based on finite difference …
Approximate solution of stochastic Volterra integro-differential equations by using moving least squares scheme and spectral collocation method
In this paper, an attractive idea using moving least squares (MLS) and spectral collocation
method is extended to estimate the solution of nonlinear stochastic Volterra integro …
method is extended to estimate the solution of nonlinear stochastic Volterra integro …
Approximate solution of two dimensional linear and nonlinear stochastic Itô–Volterra integral equations via meshless scheme
In this paper, the authors propose a practical and easy numerical scheme using two-
dimensional moving least squares (2D-MLS) and spectral-collocation method to solve two …
dimensional moving least squares (2D-MLS) and spectral-collocation method to solve two …