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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Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties
Mathematics, 2023 In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the ...
Amany Nabih +4 more
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Systems-disconjugacy of a fourth-order differential equations [PDF]
Proceedings of the American Mathematical Society, 1961 where r(x) >0 and p(x) are both continuous on [a, oo) and p(x) does not change sign, and related conjugate point properties to oscillation. They gave extensive evidence indicating that the oscillatory behavior when p(x) is positive is essentially different from that when p(x) is negative.
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An Improved Criterion for the Oscillation of Fourth-Order Differential Equations [PDF]
Mathematics, 2020 The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ‴ ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w ν : = y ν + p ν y σ ν .
Bazighifan, Omar +2 more
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Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation [PDF]
, 2002 summary:Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates $y^{[4]}+r(t)f(y)=0$ is ...
Bartušek, M., Osička, J.
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Image smoothing via adaptive fourth-order partial differential equation model
The Journal of Engineering, 2019 To overcome the staircase effects and simultaneously avoid edge blurring, here the authors proposed a novel algorithm of adaptive fourth-order partial differential equation (PDE) for image smoothing.
Na Wang +5 more
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Nonlinear Differential Equations with Distributed Delay: Some New Oscillatory Solutions
Mathematics, 2022 The oscillation of a class of fourth-order nonlinear damped delay differential equations with distributed deviating arguments is the subject of this research.
Barakah Almarri +3 more
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Lyapunov-Schmidt Method in Bifurcation Solutions of Nonlinear Fourth Order Differential Equation
مجلة علوم ذي قار, 2019 this paper studied the bifurcation solutions of elastic beams equation by using Lyapunov-Schmidt method. The bifurcation equation corresponding to the elastic beams equation has been found.
M.J. Mohammed
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Oscillation of certain fourth-order functional differential equations [PDF]
Ukrainian Mathematical Journal, 2007 Some new criteria for the oscillation of the fourth order functional differential equation (1/a(t)(x″(t))α)″ = q(t)f(x[g(t)]) + p(t)h(x[σ(t)]) are established.
Agarwal, R.P. +2 more
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