[PDF] Top 20 Approximation of the Huxley equation with nonstandard finite-difference scheme

... exact finite-difference ...standard finite-difference schemes, due to its flexibility to construct an NSFD scheme that can preserve certain properties and structures, which are obeyed by the original ... See full document

... implicit nonstandard finite difference method based on nonlocal approximation of nonlinear ...our scheme over the standard one is that it is reliable numerical simulation that preserve ... See full document

... Euler approximation, and it was investigated that the discrete-time system undergoes period-doubling bifurcation and the route to chaos was also ...forward scheme to obtain a discrete version of the ... See full document

... (GL) approximation and provide a brief overview of the important feature of the procedures for constructing NSFD schemes for ...NSFD scheme for solving the fractional order Lotka-Volterra ... See full document

... forward difference method is been used in the explicit method for the first order derivatives, whereas the Newton’s central difference method is been employed for the second order ...the ... See full document

... (GL) approximation and provides a brief overview of the important features of the procedures for constructing NSFD schemes for systems of ODEs ...NSFD scheme for solving the fractional-order HIV-1 infection ... See full document

... monotone finite-difference scheme of second-order of local approximation on uniform grids for the initial boundary problem value for the Gamma equation through the establishment of ... See full document

... order finite-difference scheme in a two-time level recurrence relation is proposed for the numerical solution of the generalized Burgers-Huxley ... See full document

... of finite difference scheme ...a finite number of grid points, then the equation can be transformed into a set of ordinary differential equations (ODEs) or a set of algebraic ... See full document

... three-level difference replacements of parabolic equations focussing on the heat equation in two- space ...the approximation, the scheme qualifies as an ADI ... See full document

... Helmholtz equation with inhomogeneous Robin boundary condition is ...This scheme is based on the sixth-order approximation for the Robin boundary condition by using the Helmholtz equation and ... See full document

... finite-difference scheme, the Crank-Nicolson scheme, the semi-implicit finite-difference scheme, and the Crank-Nicolson semi-implicit scheme for the coupled Burgers ...finite-difference ... See full document

... The finite-difference method is a standard numerical method for solving boundary value ...exact) difference approximation for some ordi- nary and partial differential equations ...best ... See full document

... of nonstandard finite difference methods have been shown in many numerical ...some nonstandard finite difference methods to preserve the positivity condition and population conservation law of biological ... See full document

... difference scheme for equations (1)–(3) is proposed, and the unconditional stability and convergence of the approximation scheme are proved in ... See full document

... wave equation by using finite difference scheme and to investigate the behavior of 1D wave through the variation of the system’s ...wave equation by using finite ... See full document

... Vacuum swing adsorption using zeolite 13X is carried out in order to produce oxygen by separating air. It is obtained that VSA process is much more appropriate and applicable than PSA. According to study the effect of ... See full document

... , (1) and it was observed in the classical Schwarz case that the discretized algo- rithms converged faster than predicted by the continuous analysis. The finite volume discretization used in these experiments was ... See full document

... In this example, a plate with a hole at the center will be studied as shown in figure 5.5. The model will only be a quarter-plate with the assumption that each quadrant of the model is equal and opposite as shown in ... See full document

... Sobolev equation plays an extremely important role in many numerical simulations of mathematical physics problems such as the fluid seepage through fractured rock or soil [], the heat exchange in different media ... See full document