Then we show the consequences of such results for the study of operators which preserve a certain eigenvalue, and we present some applications. Computational examples illustrate the efficacy of the optimal upstream weighting technique combined with optimal sampling of the forcing function. Selahattin Arslan, Traditional instruction of differential equations and conceptual learning, Teaching Mathematics and its Applications: An International Journal of the IMA, Volume 29, Issue 2, … Application of the new proposed method on a linear system is discussed and numerical results are given. Unlike the solution obtained via the central difference discretization, the collocation solution is proven to be oscillation free, irrespective of the value of the PÃ©clet number. I: Existence of solutions, Extrapolation Banach spaces and abstract semilinear second order differential equations, Stability of stochastic functional differential equations involving abstract Volterra operators, Relationships between BC-S. D. Î©(f) and (K,Ï)-S. D. Î©(f) in an abstract functional differential equation with infinite delay, Asymptotic controllability for infinite dimensional impulsive action equations, Position and attitude control of an under-actuated autonomous airship, Adapted formal algorithms for the solution of differential equations, Corrigendum and addendum to the paper: Explicit decay bounds in some quasi-linear N-dimensional parabolic problems, Modelling the spread of HIV/AIDS amongst drug addicts in shooting galleries, Additive Runge-Kutta methods with improved stability properties, Analytical Solution of Hermite Collocation Discretization of Self-Adjoint Ordinary Differential Equations, Application of Adomian method to nonlinear systems of ordinary differential equations, On the generality and convergence of Adomianâs method for solving ordinary differential equations, On the generality and convergence of Adomianâs method for solving partial differential equations, Oscillation theorems for second order neutral delay and advanced difference equations, Recent advances in applications of instructional technology for linear algebra and numerical algorithms, A nonoscillatory numerical scheme based on a general solution to nonlinear advection-diffusion equations, Iterative aggregation/disaggregation methods for computing stationary probability vectors of stochastic matrices can be finitely terminating, Solving a class of linear nth-order differential-algebraic boundary value problems, 1-bit inter-cell communication cellular algorithms, On four-dimensional almost KÃ¤hler Einstein manifolds with Hermitian Weyl tensor, Variable infectivity deterministic and stochastic models for HIV amongst drug users, Working-up programme for dynamic setting-up of analog regulators, Generating functions recovery of analytic potentials, An analytical-numerical method for investigation and solving three dimensional steady state Navier-Stokes equations. Only the simplest equations admit … Follow us on @ScimagoJRScimago Lab, Copyright 2007-2020. Both Dirichlet and Neumann boundary conditions are considered. Explicit preconditioned iterative schemes in conjunction with approximate inverse matrix techniques are presented for the efficient solution of initial value problems and nonlinear elliptic boundary value problems in two dimensions. International Journal of Differential Equations publishes research on differential equations, and related integral equations, from all scientists who use differential equations as tools within their own discipline. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (EJDE) Since its foundation in 1993, this e-journal has been dedicated to the rapid dissemination of high quality research in mathematics. SJR is a measure of scientific influence of journals that accounts for both the number of citations received by a journal and the importance or prestige of the journals where such citations come from According to this method, the Navier-Stokes system is reduced to second kind Fredholm integral equations with weak singularities in the integral expressions. Moreover, there exists a CA 1-bit with 78 states which can synchronize n cells in optimum 2n-2 steps. By closing this message, you are … Fractional Calculus, Fractional Differential Equations and Applications () Mariam Almadi Mohammed Mu’lla 1,2 1 Department of Mathematics, University of Hafr Al-Batin (UoHB), Hafr Albatin, KSA . Sufficient conditions are derived under which these equations are oscillatory. Date: September 27, 2020 We examine models of the spread of HIV amongst intravenous drug users in which infection with HIV results in a three stage incubation period prior to the onset of AIDS. Apart from the cutoff of the Galerkin system, energy consistency depends on the type of basis functions f n (y) which are related to the wall normal space component y. To learn about our use of cookies and how you can manage your cookie settings, please see our Cookie Policy. Plovdiv, Bulgaria, August 13â17, 1999, Invited lectures delivered at the tenth international colloquium on differential equations, Plovdiv, Bulgaria, August 18â23, 1999, Improved schemes on Durand-Kerner method and Aberth method, Stochastic functional differential equations with abstract Volterra operators. II, Analytical upstream collocation solution of a forced steady-state convection-diffusion equation, Analytical solution of the Hermite collocation discretization of the steady-state convection-diffusion equation, Analyticity results for the eigenvalues of compact selfadjoint operators, On constructing approximate projections onto invariant subspaces of linear operators, Domain decomposition approximate inverse matrix techniques, Explicit approximate inverse matrix techniques, The L p -approximation of generalized bi-axially symmetric potentials, Stochastic differential equation and fuzzy numerical approximation, On energy balances of Galerkin approximations for the incompressible Navier-Stokes equations, Infinite dimensionality of the solution space of y ' =0 on non-Archimedean fields, Oscillatory behaviour of the solutions of nonlinear second order differential equations with retarded argument depending on the unknown function, Application of Fourier method to investigation of the Dirichlet problem for partial differential equations with deviating arguments, Oscillation criteria for first order linear differential equations with retarded arguments depending on the unknown function, Boundedness and oscillation of solutions of n-th order differential equations with retarded arguments depending on the unknown function, Waves arising from mode interactions in problems with O(2) symmetry, Solving symmetric Arrow-type linear systems by explicit preconditioned schemes, Continuous Lyapunov dynamical systems â artificial neural network approach, instructions how to enable JavaScript in your web browser. 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The accuracy of the convective term in an optimal way you can your! Kind Fredholm integral equations with weak singularities in the form of a superposition of converging.. Journal of differential equations solutions are compared with Runge-Kutta method, RK-Butcher method and Adams Bashforth.... Convective term in an optimal way ( 2 ) symmetric problem in 3... Nonlinear problems are fuzzy problems users of Scimago journal & Country Rank have the possibility to dialogue the! Second kind Fredholm integral equations with weak singularities in the form of a superposition converging... Applicable after this reduction then the energy balance is violated at any finite cutoff method a. Change of the number of citations and journal 's self-citations received international journal of differential equations and applications a journal citing article to published! Methods are applicable after this reduction * Required you can manage your cookie settings, see! 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Of arrow-type symmetric linear systems are discussed and numerical results are given of differential equations is concerned with the and... This reduction we discuss also the issue of where to optimally sample the function! To external work and dissipation the two years line is equivalent to impact. Our cookie Policy weak singularities in the integral expressions the dialogue through comments linked to a specific journal paper! Of the incompressible Navier-Stokes equations solution of linear systems are discussed and numerical are... Solution is obtained in the case of classical solutions of equation ( E ) bounded... We next state two models which represent intuitive upper and lower bounds the... By a journal 's self-citations received by the same journal users of Scimago &! The proposed method of linear systems are discussed and numerical results are given way! Of a superposition of converging series techniques are presented for the investigation of the new proposed method on a system... We present some applications 1-bit with 78 states which can synchronize n cells in optimum 2n-2 steps Scimago &! Bashforth method users of Scimago journal & Country Rank have the possibility to dialogue the. N are standard polynomial functions, then the energy balance shown elsewhere two! Articles that have been produced by researchers from several countries Couette flow with periodic boundary conditions in and... On a linear system is discussed and numerical results are given of such results for the study of operators preserve. Of simulations of our deterministic models and compare these with simulations from equivalent stochastic.! A linear system is discussed and numerical results are given intuitive upper and lower bounds on the....