On Some Solvable Systems of Some Rational Difference Equations of Third Order
Mathematics, 2023 Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero ...
Khalil S. Al-Basyouni +1 more
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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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Backward difference replacements of the space derivative in first order hyperbolic equations [PDF]
, 1983 Two families of two-time level difference schemes are developed for the numerical solution of first order hyperbolic partial differential equations with one space variable.
Khaliq, AQM, Twizell, EH
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Characterization of Homogeneous System of Difference Equations
Al-Mustansiriyah Journal of Science, 2021 In this paper, we introduced new definitions of the system of homogenous difference equations of order two; namely homogenous and semi homogenous system, where we focused on finding the equivalents for these definitions of order one as well as of order ...
Huda Hussein Abed +1 more
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New class of practically solvable systems of difference equations of hyperbolic-cotangent-type
Electronic Journal of Qualitative Theory of Differential Equations, 2020 The systems of difference equations $$x_{n+1}=\frac{u_nv_{n-2}+a}{u_n+v_{n-2}},\quad y_{n+1}=\frac{w_ns_{n-2}+a}{w_n+s_{n-2}},\quad n\in\mathbb{N}_0,$$ where $a, u_0, w_0, v_j, s_j$ $j=-2,-1,0,$ are complex numbers, and the sequences $u_n$, $v_n,$ $w_n$,
Stevo Stevic
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Dynamics of a Higher-Order Three-Dimensional Nonlinear System of Difference Equations
, 2023 In this paper, we study the semi-cycle analysis of positive solutions and the asymptotic behavior of positive solutions of three-dimensional system of difference equations with a higher order under certain parametric conditions.
Fatma E. Mansour +5 more
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Finite-difference solutions of tenth-order boundary-value problems [PDF]
, 1994 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.In this thesis finite difference methods are used to obtain numerical solutions for a class of high-order ordinary differential equations with applications ...
Siddiqui, Aijaz Ahmad
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Boundedness character of a fourth-order system of difference equations [PDF]
, 2015 Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is given.Sufficient conditions for boundedness character of solutions of a fourth-order system of difference equations is ...
Stevič, Stevo +2 more
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On the Periodic Solutions of Some Systems of Difference Equations
Communications in Advanced Mathematical Sciences, 2018 In this paper, we study the solution of the systems of difference equations \begin{equation*} x_{n+1}=\frac{1\pm (y_{n}+x_{n-1})}{y_{n-2}},\ \ \ y_{n+1}=\frac{1\pm (x_{n}+y_{n-1})}{x_{n-2}},\;\;n=0,1,..., \end{equation*}% {\Large \noindent }where the ...
E. M. Elsayed, H. S. Gafel
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Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
Hydon, PE +3 more
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