Results 11 to 20 of about 173,435,843 (136)
Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Higher-order finite-difference methods for partial differential equations [PDF]
, 1997 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis develops two families of numerical methods, based upon rational approximations having distinct real poles, for solving first- and second-order ...
Cheema, Tasleem Akhter
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Initial data stability and admissibility of spaces for Itô linear difference equations [PDF]
, 2017 summary:The admissibility of spaces for Itô functional difference equations is investigated by the method of modeling equations. The problem of space admissibility is closely connected with the initial data stability problem of solutions for Itô delay ...
Simonov, Pyotr, Kadiev, Ramazan
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Implicit methods for the simple wave equation [PDF]
, 1984 A family of finite difference methods is developed for the numerical solution of the simple wave equation. Local truncation errors are cal- culated for each member of the family and each is analyzed for stability.
Tirmizi, S I A, Twizell, E H
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Dynamics and Solutions of Higher-Order Difference Equations
, 2023 The invariance method, known as Lie analysis, consists of finding a group of transformations that leave a difference equation invariant. This powerful tool permits one to lower the order, linearize and more importantly, obtain analytical solutions of ...
Mensah Folly-Gbetoula
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Stability Results for Two-Dimensional Systems of Fractional-Order Difference Equations
Mathematics, 2020 Linear autonomous incommensurate systems that consist of two fractional-order difference equations of Caputo-type are studied in terms of their asymptotic stability and instability properties.
Oana Brandibur +3 more
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Riccati equations in stability theory of difference equations with memory [PDF]
1999 European Control Conference (ECC), 1999 This paper defines several Riccati equations that allow checking the stability of difference equations with delay effect as x i+1 = mΣ j=0 A j x i-j (x i ∊ Rn). These various matrix Riccati equations have the same dimension n than the vector x, whatever the order m may be: this represents an advantage for high orders m when compared to classical ...
Vladimir Kolmanovskii +2 more
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Stability problem of some nonlinear difference equations
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we investigate the asymptotic stability of the recursive sequence xn+1=α+βxn21+γxn−1, n=0,1,… and the existence of certain monotonic solutions of the equation xn+1=xnpf(xn,xn−1,…,xn−k), n=0,1,… which includes as a special case the ...
Alaa E. Hamza, M. A. El-Sayed
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Global Asymptotic Stability of a Nonautonomous Difference Equation [PDF]
Journal of Applied Mathematics, 2014 We study the following nonautonomous difference equation:xn+1=(xnxn-1+pn)/(xn+xn-1),n=0,1,…, wherepn>0is a period-2 sequence and the initial valuesx-1,x0∈(0,∞). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.
Gumus, Mehmet, Ocalan, Ozkan
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On the stability of some systems of exponential difference equations [PDF]
Opuscula Mathematica, 2018 In this paper we prove the stability of the zero equilibria of two systems of difference equations of exponential type, which are some extensions of an one-dimensional biological model.
N. Psarros +2 more
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