Results 11 to 20 of about 3,812 (246)
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
Nonlinear Engineering, 2023 Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform ...
Kapoor Mamta
doaj +1 more source
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
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
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 In this paper we study the finite element approximation of systems of second-order nonlinear hyperbolic equations. The proposed numerical method combines ahp-version discontinuous Galerkin finite element approximation in the time direction with anH1(Ω)-conforming finite element approximation in the spatial variables.
openaire +2 more sources
Chemical Engineering Journal Advances, 2023 The tangent hyperbolic nanofluid behaviour is observed in multiple practical applications and extensively used in different laboratory experiments. It motivates to focus on the two-dimensional boundary layer flow of tangent hyperbolic nanofluid past a ...
Hiranmoy Maiti, Samir Kumar Nandy
doaj +1 more source