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International Collaboration accounts for the articles that have been produced by researchers from several countries. Evolution of the total number of citations and journal's self-citations received by a journal's published documents during the three previous years. Journal Self-citation is defined as the number of citation from a journal citing article to articles published by the same journal. Sufficient conditions are derived under which these equations are oscillatory. Entropy, an international, peer-reviewed Open Access journal. Both Dirichlet and Neumann boundary conditions are considered. Follow us on @ScimagoJRScimago Lab, Copyright 2007-2020. IJDE is an international research journal which publishes top-level work from all areas of difference equations and their applications. However, differential equations, such as those used to solve real-life problems, may not be directly solvable, i.e., they do not have closed-form solutions. We prove the existence and uniqueness of classical boundary value problem solutions for partial differential equation with a discrete deviating argument. Areas: Functional Differential Equations including Delay, Integro-differential ind Impulsive Equations; Difference Equations; Stability; Oscillation; Applications to Mathematical Biology MARTIN J. BOHNER … Nonlinear Analysis and Differential Equations, Vol. Data Source: Scopus®, Metrics based on Scopus® data as of April 2020. We first give a brief literature review before discussing the complications which arise in modelling variable infectivity when HIV is transmitted indirectly through needle sharing. We discuss also the issue of where to optimally sample the forcing function. To learn about our use of cookies and how you can manage your cookie settings, please see our Cookie Policy. Numerical examples are presented for the developed methodology. The application of numerical solution to stochastic differential equations is considered by P. E. Kloeden [Numerical solution of stochastic differential equations (1992; Zbl 0752.60043)] and P. E. Kloeden, E. Platen and H. Schurz [Numerical solution of SDE through computer experiments (1994; Zbl 0789.65100)]. International Journal of Partial Differential Equations and Applications.2020, 8(1), 6-12.DOI: 10.12691/ijpdea-8-1-2 Pub. We give herein formulas for the solution of the Hermite collocation discretization of a nonhomogeneous steady-state convection-diffusion equation in one spatial dimension and with constant coefficients, defined on a uniform mesh, with Dirichlet boundary conditions. By training the ANN with Levenberg-Marquardt algorithm with optimum network parameters, we attained the advantage of evaluation of the solutions at required instantaneous times with high accuracy, fast convergence and low use of memory. International Journal of Differential Equations and Applications | Read 342 articles with impact on ResearchGate, the professional network for scientists. 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. Ω(f) and (K,ρ)-S. D. Ω(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 Adomian’s method for solving ordinary differential equations, On the generality and convergence of Adomian’s 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 Kähler 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. 1, 121-128 doi: 10.12988/nade.2020.91129 Jie Yang, Guoping Chen, Jingli Xie Existence of solutions to impulsive fractional differential equations … The goal of this article is to discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations … Date: September 27, 2020 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 – artificial neural network approach, instructions how to enable JavaScript in your web browser. The Advances in Differential Equations and Control Processes is a peer-reviewed journal which publishes original research articles related with the recent developments both in theory and applications of ordinary differential … * Required. It is clear that the most real life problems are fuzzy problems. 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 . … Explicit preconditioned iterative schemes in conjunction with approximate inverse matrix techniques are presented for the efficient solution of arrow-type symmetric linear systems. The proposed method of linear systems are discussed and numerical results are.! Published documents during the three previous years bi-axially symmetric potentials ( GBSP ) and needle.. Of self-citations from the total number of citations and journal 's self-citations received by a journal 's published during... 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