Results 21 to 30 of about 122,957 (282)
A Two-Grid Finite Element Method for a Second-Order Nonlinear Hyperbolic Equation [PDF]
Abstract and Applied Analysis, 2014 We present a two-grid finite element scheme for the approximation of a second-order nonlinear hyperbolic equation in two space dimensions. In the two-grid scheme, the full nonlinear problem is solved only on a coarse grid of sizeH. The nonlinearities are expanded about the coarse grid solution on the fine gird of sizeh.
Chen, Chuanjun, Liu, Wei, Zhao, Xin
openaire +4 more sources
Novel soliton solutions for the fractional three-wave resonant interaction equations
Demonstratio Mathematica, 2022 In this article, we obtained new infinite sets of exact soliton solutions for the nonlinear evolution system of three-wave resonant interaction equations.
Alqaraleh Sahar M., Talafha Adeeb G.
doaj +1 more source
Ain Shams Engineering Journal, 2021 In this paper, Crank-Nicolson differential quadrature method based on cubic exponential B-spline (CExpB-spline) functions is presented to approximate the 1D nonlinear hyperbolic Sine-Gordon equation (SGE).
A.H. Msmali +2 more
doaj +1 more source
Stability of Nonhyperbolic Equilibrium Solution of Second Order Nonlinear Rational Difference Equation [PDF]
Journal of Difference Equations, 2015 This is a continuation part of our investigation in which the second order nonlinear rational difference equation xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1), n=0,1,2,…, where the parameters A≥0 and B, C, α, β, γ are positive real numbers and the initial conditions x-1, x0 are nonnegative real numbers such that A+Bx0+Cx-1>0, is considered.
S. Atawna +3 more
openaire +2 more sources
Electronic Journal of Qualitative Theory of Differential Equations, 2015 For system of hyperbolic equations of second order a nonlinear boundary value problem with integral condition is considered. By introducing new unknown functions the investigated problem is reduced to an equivalent problem involving one-parametered ...
Anar Assanova
doaj +1 more source
Development, calibration and verification of mathematical model for multilane urban road traffic flow. Part I [PDF]
Компьютерные исследования и моделирование, 2015 In this paper, we propose the unified procedure for the development and calibration of mathematical model for multilane urban road traffic flow. We use macroscopic approach, describing traffic flow with the system of second-order nonlinear hyperbolic ...
Andrey Evgen'evich Alekseenko +7 more
doaj +1 more source
Mathematics, 2022 The study considers a nonlinear multi-parameter reaction–diffusion system of two Lotka–Volterra-type equations with several delays. It treats both cases of different diffusion coefficients and identical diffusion coefficients.
Andrei D. Polyanin, Alexei I. Zhurov
doaj +1 more source
Biomath, 2021 The numerical method for simulation dynamics of nonlinear epidemic model of age-structured sub-populations of susceptible, infectious, precancerous and cancer cells and unstructured population of human papilloma virus (HPV) is developed (SIPCV model ...
Vitalii Akimenko, Fajar Adi-Kusumo
doaj +1 more source
A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science [PDF]
, 2019 In this paper, we study damped second-order dynamics, which are quasilinear hyperbolic partial differential equations (PDEs). This is inspired by the recent development of second-order damping systems for accelerating energy decay of gradient flows.
Dong, Guozhi +2 more
core +3 more sources
Semi-Lagrangian methods for parabolic problems in divergence form [PDF]
, 2014 Semi-Lagrangian methods have traditionally been developed in the framework of hyperbolic equations, but several extensions of the Semi-Lagrangian approach to diffusion and advection--diffusion problems have been proposed recently.
Bonaventura, L., Ferretti, R.
core +3 more sources