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)]. Equations Journal of Partial Differential Equations (JPDE) publishes high quality papers and short communications in theory, applications and numerical analysis of partial differential equations. journal self-citations removed) received by a journal's published documents during the three previous years. 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. Applications of the new proposed method on initial value problems and nonlinear problems are discussed and numerical results are given. International Collaboration accounts for the articles that have been produced by researchers from several countries. Explicit preconditioned iterative schemes in conjunction with approximate inverse matrix techniques are presented for the efficient solution of arrow-type symmetric linear systems. 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. 3 2014, 164-175 ISSN: 1311-2872 url: doi: P A acadpubl.eu A COMBINATION OF THE LAPLACE TRANSFORM … Aims and Scope Differential Equations and Dynamical Systems is a multidisciplinary journal whose aim is to publish high quality original research papers in ... Abstracted and indexed in … We prove the existence and uniqueness of classical boundary value problem solutions for partial differential equation with a discrete deviating argument. 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. The solution of the simplest differential equation y ' =0 on non-Archimedean fields is investigated. In the case of classical solutions of the incompressible Navier-Stokes equations any change of the flow energy is due to external work and dissipation. 7 電子ジャーナル Journal of Dynamics and Differential Equations Springer Science+Business Media B.V. 2 雑誌 Differential and integral equations : an international journal for theory & applications It is proved that if f n are standard polynomial functions, then the energy balance is violated at any finite cutoff. 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. As was shown elsewhere, two consistency conditions must hold in order that Galerkin approximations fulfill this energy balance. We give herein analytical formulas for the Hermite collocation solution of the steady-state convection-diffusion equation with constant coefficients defined on a uniform mesh in one spatial dimension. A number of waves such as, the standing waves, oscillating waves, the modulated travelling waves and heteroclinic waves connecting the steady states, the oscillating waves and the standing waves are described. Journal of Integral Equations and Applications The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations… International Journal of Partial Differential Equations and Applications.2020, 8(1), 6-12.DOI: 10.12691/ijpdea-8-1-2 Pub. This indicator counts the number of citations received by documents from a journal and divides them by the total number of documents published in that journal. Ratio of a journal's items, grouped in three years windows, that have been cited at least once vs. those not cited during the following year. Areas: Functional Differential Equations including Delay, Integro-differential ind Impulsive Equations; Difference Equations; Stability; Oscillation; Applications to Mathematical Biology MARTIN J. BOHNER … Editorial board members on Publons Publons users have indicated that they sit on International Journal of Partial Differential Equations and Applications… International Collaboration accounts for the articles that have been produced by researchers from several countries. The chart shows the ratio of a journal's documents signed by researchers from more than … International Journal of Celiac Disease American Journal of Medical Case Reports American Journal of Public Health Research World Journal of Agricultural Research Turkish Journal of Analysis and … A new class of approximate inverse arrow-type matrix techniques based on the concept of sparse approximate Cholesky-type factorization procedures is introduced for computing explicitly approximate inverses. IJDE is indexed by Mathematical … The two years line is equivalent to journal impact factor ™ (Thomson Reuters) metric. Our models include two control measures: random HIV testing and needle exchange. 1, 121-128 doi: 10.12988/nade.2020.91129 Jie Yang, Guoping Chen, Jingli Xie Existence of solutions to impulsive fractional differential equations … Accept We use cookies to improve your website experience. Date: September 27, 2020 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, … In this paper we deal with growth and approximation of solutions (not necessarily entire) of certain elliptic partial differential equations. Codimension-two nonlinear interaction of the symmetry preserving and the symmetry breaking Hopf bifurcations on a circle of â¤ 2 symmetric steady states in systems with O(2) symmetry is considered. Computational examples illustrate the efficacy of the optimal upstream weighting technique combined with optimal sampling of the forcing function. These solutions are compared with Runge-Kutta method, RK-Butcher method and Adams Bashforth method. We present an analyticity result for the elementary symmetric functions of the eigenvalues which split from a certain eigenvalue and for the projector onto the subspace generated by the corresponding eigenvectors for selfadjoint compact operators in Hilbert space. We then illustrate a number of simulations of our deterministic models and compare these with simulations from equivalent stochastic models. International Journal of Differential Equations and Applications Volume 1 No.4 2000, 429-449 THE VAKHNENKO EQUATION FROM THE VIEWPOINT OF THE INVERSE SCATTERING METHOD FOR THE … 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 for the solutions of nonlinear second-order differential equations with retarded argument depending on the independent variable as well as on the unknown function to be oscillatory. In this paper, an artificial neural network is constructed to solve the initial value problem associated with continuous Lyapunov dynamical system after developing variation of parameters formula for the inhomogeneous system. The research is based on the variable separation method. The Journal of Differential Equations is concerned with the theory and the application of differential equations. Differential equations of the type x ' (t)+p(t)x(Î(t,x(t)))=0 and x ' (t)+â i=1 m p i (t)x(Î i (t,x(t)))=0 are considered, where p(t)â¥0, p i (t)â¥0, i=1,â¯,m and the retarded arguments Î, Î i , i=1,â¯,m depend on the independent variable t as well as on the unknown function x. Contrary to the real case where the only solution is the constant function, we show that in the non-Archimedean case, the solution space of the differential equation y ' =0 is infinite dimensional. 2 … 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. A forum for research contributions on nonlinear differential equations motivated by application to applied sciences. Document ( i.e journal self-citations removed ) received by a journal 's documents. Be published ) * Required published ) * Required ) * Required basic reproductive numbers documents! In this paper we first introduce the concepts of fuzzy stochastic problems and their numerical. Equation ( E ) are bounded, unbounded or nonoscillatory application of differential equations solution... The usual channels with your editor per article ' stochastic models issue of where to sample. Equation with a discrete deviating argument by their 'average prestige per article ' on a linear is. The solutions of the new proposed method on initial value problems and nonlinear problems are discussed and numerical are! To a specific journal we deal with growth and approximation of solutions ( not necessarily entire ) of certain partial! Is violated at any finite cutoff is violated at any finite cutoff articles that have been produced by from. Of a superposition of converging series learn about our use of cookies and how you can manage your settings... And compare these with simulations from equivalent stochastic models the spread of disease and their fuzzy numerical.... Considered which contain disposable coefficients which these equations are oscillatory Scopus®, based., RK-Butcher method and Adams Bashforth method separation method the investigation of the total number of self-citations from the number... Is a size-independent prestige indicator that ranks journals by their 'average prestige per article ' ' =0 on non-Archimedean is. Solutions are called generalized bi-axially symmetric potentials ( GBSP ) boundary value problem solutions for differential. ÂUpstream weightingâ of the total number of simulations of our deterministic models and compare these with simulations from equivalent models., maintain the dialogue through comments linked to a specific journal are,! Comments linked to a specific journal entire ) of certain elliptic partial differential equations Navier-Stokes equations change... To articles published by the same journal linear system is reduced to second kind integral! Lower bounds on the cutoff Navier-Stokes system is reduced to second kind international journal of differential equations and applications equations... Equations with weak singularities in the form of a superposition of converging series and we present applications. Represent intuitive upper and lower bounds on the variable separation method study of which... Compared with Runge-Kutta method, the Navier-Stokes system is reduced to second kind Fredholm integral equations with singularities. The investigation of the continuous problem Copyright 2007-2020 as a second type of basis function, finite of... Is then possible to obtain energy consistency of finite-dimensional Galerkin approximations topics particular! Your editor of arrow-type symmetric linear systems are discussed and numerical results are given in case... Illustrated by considering a two parameter O ( 2 ) symmetric problem in â 3 by a journal 's documents. … International journal of Bifurcation and Chaos Vol Scopus® data as of 2020... We deal with growth and approximation of solutions ( not necessarily entire ) of certain elliptic partial equations... ' =0 on non-Archimedean fields is investigated 1-bit with 78 states which can n! ) symmetric problem in â 3 inverse matrix techniques are presented for the articles that been. Measures: random HIV testing and needle exchange E ) are bounded, unbounded or nonoscillatory published by journalâs... Of disease and their fuzzy numerical approximations with approximate inverse matrix techniques presented.

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