Estimating the effects of drugs at different stages is directly proportional to duration recovery and pulling through with disease. It very important estimate stages. For this reason, solving Pharmacokinetic models which investigate these are important. In study, numerical solutions one, two, three-compartment nonlinear have been studied. Distributed order differential equations used for soluti...

Abstract— The aim of this work is to construct high-order numerical schemes that preserve the dynamical properties a mathematical model describing spread computer viruses on Internet. For purpose, we first apply Mickens’ methodology formulate dynamically consistent nonstandard finite difference (NSFD) scheme for under consid­eration. After that, constructed NSFD combined with Richardson’s extra...

In this paper, we proposed an unconditionally stable NonStandard Finite Difference (NSFD) scheme to solve nonlinear Riccati differential equation. The accuracy and efficiency of the proposed scheme is verified by comparing the results with other numerical techniques such as Euler and RK-4 and semi analytical technique DTM. The obtained results show that the performance of NSFD scheme is more ac...

A singularly perturbed delay parabolic problem of convection-diffusion type with a discontinuous convection coefficient and source term is examined. In the problem, strong interior layers weak boundary are exhibited due to large in spatial variable discontinuity source. The discretized by nonstandard finite difference scheme for time derivative, we used Crank–Nicolson scheme. To enhance order c...

and Applied Analysis 3 andX E = x−uΔt (similarly we see thatX E = x−2uΔt for the two-step methods). In (7) with X being replaced by X E , we have φ n+1 − φ n (x − uΔt) Δt − νΔφ n+1 = f n+1 . (9) On the other hand, (9) can be derived by MMOC [5]. In fact, with u = (u 1 , u 2 ), let s denote the direction vector (1, u 1 , u 2 ), and define the operator d ds := 1 θ ( ∂ ∂t + u ⋅ ∇) , (10) with θ(x,...

Singularly perturbed parabolic differential problems with non-smooth data and a large negative shift in the space variable were studied. The proposed scheme is based on method of lines, nonstandard finite difference for discretization, followed by backward Euler resulting system initial value time discretization. stability uniform convergence are investigated proved. As demonstrated theoretical...

We study the asymptotics of two space dimensional reaction-diffusion front speeds through mean zero space-time periodic shears using both analytical and numerical methods. The analysis hinges on traveling fronts and their estimates based on qualitative properties such as monotonicity and a priori integral inequalities. The computation uses an explicit second order upwind finite difference metho...

In this paper, Numerical Methods for solving ordinary differential equations, beginning with basic techniques of finite difference methods for linear boundary value problem is investigated. Numerical solution is found for the boundary value problem using finite difference method and the results are compared with analytical solution. MATLAB coding is developed for the finite difference method. T...

Dense phase pneumatic conveying has been investigated through simulation, using a discrete element approach for the granular particles and a finite difference method for the pressure field. Both horizontal and vertical conveying are studied and compared. Studies of single plugs or slugs promise to give insight into the performance of pneumatic conveying systems.