In this work, radial basis function collocation method (RBFCM) is implemented for generalized time fractional Gardner equation (GTFGE). The RBFCM meshless and easy-to-implement in complex geometries higher dimensions, therefore, it highly demanding. the Caputo derivative of order ? (0, 1] used to approximate first whereas, Crank-Nicolson scheme hired space derivatives. numerical solutions are p...

In this study, we will construct numerical techniques for tackling the logarithmic Schrödinger’s nonlinear equation utilizing explicit scheme and Crank-Nicolson of finite difference method. These schemes be subjected to accuracy stability tests before being used. Efficacy robustness under consideration demonstrated using an exact solution, one-Gausson, as well conserved quantities. Interaction ...

This paper provides an error analysis for the Crank–Nicolson extrapolation scheme of time discretization applied to the spatially discrete stabilized finite element approximation of the two-dimensional time-dependent Navier–Stokes problem, where the finite element space pair (Xh,Mh) for the approximation (uh, p n h) of the velocity u and the pressure p is constructed by the low-order finite ele...

Stochastic Petri nets have been extended for the modelling of hybrid systems by adding uid places, that are lled and emptied continuously at random (normally distributed) rate. The ow rates as well as the discrete transition rates may depend on the content a uid place holds. The dynamics of the model are described by second order partial diierential equations, that can be solved by using an imp...

We analyze the spatially semidiscrete piecewise linear finite element method for a nonlocal parabolic equation resulting from thermistor problem. Our approach is based on the properties of the elliptic projection defined by the bilinear form associated with the variational formulation of the finite element method. We assume minimal regularity of the exact solution that yields optimal order erro...

The numerical solution of a Rayleigh-Taylor instability problem where an inviscid liquid of finite depth is accelerated into a gas of semi-infinite extent is obtained by transforming the irregular flow domain into a rectangular domain by a coordinate transformation. The free surface equation is solved by a Crank-Nicolson procedure. The boundary condition at the free surface for the velocity pot...

We consider a model initial and boundary value problem for the wide-angle ‘parabolic’ equation Lur = icu of underwater acoustics, where L is a second-order differential operator in the depth variable z with depthand range-dependent coefficients. We discretize the problem by the Crank–Nicolson finite difference scheme and also by the forward Euler method using nonuniform partitions both in depth...

We investigate the stability of a fully-implicit, linearly extrapolated Crank-Nicolson (CNLE) time-stepping scheme for finite element spatial discretization of the Navier-Stokes equations. Although presented in 1976 by Baker and applied and analyzed in various contexts since then, all known convergence estimates of CNLE require a time-step restriction. We propose a new linear extrapolation of t...

The effect of magnetic field on the flow and heat and mass transfer processes when the fluid flows past a continuously moving porous plate has been analyzed. The governing boundary layer equations have been reduced to a set of nonlinear ordinary differential equations using similarity transformations. The governing equations are solved using an implicit finite-difference scheme of Crank-Nicolso...