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 …

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 …

This article describes a numerical method based on the dual reciprocity boundary element
method (DRBEM) for solving some well-known nonlinear parabolic partial differential …

The main aim of this study is presenting a semi-discretization scheme to find the numerical
solution of two dimensional (2D) stochastic time fractional diffusion-wave equation, which …

This paper proposes an accurate and computationally efficient technique for the
approximate solution of a rich class of fractional stochastic differential equations with …

The study of stochastic problems is very important and there is an increasing demand for
investigating the behavior of a number of sophisticated dynamical systems in different areas …

In this paper, we apply the dual reciprocity boundary elements method for the numerical
solution of two‐dimensional linear and nonlinear time‐fractional modified anomalous …

Nowadays, numeric paradigms have great significance in every field especially for solving
the NDEs, PDEs, biochemical reactions etc. Here, we represent a realistic suicide substrate …

The improved singular boundary method (ISBM) and dual reciprocity method (DRM) are
coupled to solve fractional derivative the Rayleigh–Stokes problem with nonhomogeneous …

In this paper, the boundary element method is reformulated using new complex Fourier
shape functions for solving two-dimensional (2D) elastostatic and dynamic problems. For …