Results 21 to 30 of about 216,704 (259)
On a Multigrid Method for Tempered Fractional Diffusion Equations
Fractal and Fractional, 2021 In this paper, we develop a suitable multigrid iterative solution method for the numerical solution of second- and third-order discrete schemes for the tempered fractional diffusion equation.
Linlin Bu, Cornelis W. Oosterlee
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Positive Solutions for a Third Order Nonlinear Neutral Delay Difference Equation
Abstract and Applied Analysis, 2015 The existence, multiplicity, and properties of positive solutions for a third order nonlinear neutral delay difference equation are discussed. Six examples are given to illustrate the results presented in this paper.
Zeqing Liu +3 more
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Dynamical Behavior of a System of Third-Order Rational Difference Equation
Discrete Dynamics in Nature and Society, 2015 This paper deals with the boundedness, persistence, and global asymptotic stability of positive solution for a system of third-order rational difference equations xn+1=A+xn/yn-1yn-2, yn+1=A+yn/xn-1xn-2, n=0,1,…, where A∈(0,∞), x-i∈(0,∞); y-i∈(0,∞), i=0,1,
Qianhong Zhang +2 more
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On the oscillation of third order half-linear neutral type difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, the authors study the oscillatory properties of third order quasilinear neutral difference equation of the form $$\Delta(a_{n}(\Delta^{2}(x_{n} + p_{n}x_{n-\delta}))^{\alpha}) + q_{n} {x^{\alpha}_{n-\tau}} = 0,\quad n\geq 0, \tag{E ...
Ethiraju Thandapani +2 more
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Oscillation of certain third-order difference equations
Computers & Mathematics with Applications, 2001 New criteria for oscillatory behavior of all solutions of third-order difference equations of the type \[ \Delta^3 x_n=p_n \Delta^2x_{n+m} +q_n F(x_{n-g}, \Delta x_{n-h}) \] are presented.
Agarwal, R.P., Grace, S.R.
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Advances in Difference Equations, 2018 This paper deals with the third order nonlinear neutral delay difference equation with a forced term Δ2(a(n)Δ(x(n)+c(n)x(n−τ)))+f(n,x(n−b1(n)),x(n−b2(n)),…,x(n−bk(n)))=d(n),n≥n0.
Guojing Jiang +3 more
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Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers
Discrete Dynamics in Nature and Society, 2011 This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three)
Li He, Wanping Liu
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On Positive Solutions and Mann Iterative Schemes of a Third Order Difference Equation
Abstract and Applied Analysis, 2014 The existence of uncountably many positive solutions and convergence of the Mann iterative schemes for a third order nonlinear neutral delay difference equation are proved. Six examples are given to illustrate the results presented in this paper.
Zeqing Liu +3 more
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Exact method to solve of linear heat transfer problems [PDF]
E3S Web of Conferences, 2021 When approximating multidimensional partial differential equations, the values of the grid functions from neighboring layers are taken from the previous time layer or approximation.
Abdullayev Akmaljon +2 more
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ON A THIRD ORDER DIFFERENCE EQUATION
Acta Universitatis Apulensis, 2018 Summary: In this paper, the authors solve the difference equation \[ x_{n+1} =\frac{x_nx_{n-2}}{-ax_n + bx_{n-2}}, \quad n = 0, 1, \dots, \] where \(a\) and \(b\) are positive real numbers and the initial values \(x_{-2}, x_{-1}\) and \(x_0\) are real numbers.
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