Results 11 to 20 of about 7,549 (163)
Analytical technique for solving the quadratic nonlinear oscillator
Results in Physics, 2020 Recently, an approximate solution of the quadratic nonlinear oscillator has been presented based on the harmonic balance method. According to this method a set of nonlinear algebraic equations appear among the unknown coefficients of the several harmonic
Ismot Ara Yeasmin +3 more
doaj +1 more source
Traveling wave structures of some fourth-order nonlinear partial differential equations
Journal of Ocean Engineering and Science, 2023 This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen +3 more
doaj +1 more source
Nonlinear Schrödinger equations and Virasoro algebra [PDF]
Chaos, Solitons & Fractals, 2006 By using AKNS scheme and soliton connection taking values in a Virasoro algebra we obtain new coupled Nonlinear Schrodinger equations.
Özer, H. T., Salihoğlu, S.
openaire +2 more sources
A modified harmonic balance method for solving forced vibration problems with strong nonlinearity
Journal of Low Frequency Noise, Vibration and Active Control, 2021 In this paper, a modified harmonic balance method is presented to solve nonlinear forced vibration problems. A set of nonlinear algebraic equations appears among the unknown coefficients of harmonic terms and the frequency of the forcing term.
M W Ullah, M S Rahman, M A Uddin
doaj +1 more source
Mathematics, 2021 Compared with the linear Black–Scholes model, nonlinear models are constructed through taking account of more practical factors, such as transaction cost, and so it is difficult to find an exact analytical solution. Combining the Haar wavelet integration
Ruyi Xing +3 more
doaj +1 more source
Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
doaj +1 more source
Algebraic multigrid for the nonlinear powerflow equations
Numerical Linear Algebra with Applications, 2020 AbstractIn a recent article, one of the authors developed a multigrid technique for coarse‐graining dynamic powergrid models. A key component in this technique is a relaxation‐based coarsening of the graph Laplacian given by the powergrid network and its weighted graph, which is represented by the admittance matrix.
Barry Lee, Enrique Pereira Batista
openaire +2 more sources
Nonlinear Schrödinger equations and N=1 superconformal algebra [PDF]
Chaos, Solitons & Fractals, 2007 By using AKNS scheme and soliton connection taking values in N=1 superconformal algebra we obtain new coupled super Nonlinear Schrodinger equations.
Özer, H. T., Salihoğlu, S.
openaire +3 more sources
Free vibration analysis of nonlinear axially loaded beams using a modified harmonic balance method
Partial Differential Equations in Applied Mathematics, 2022 The conventional harmonic balance method utilizes a numerical approach for solving a set of nonlinear algebraic equations to identify the unknown coefficients.
M. Wali Ullah +2 more
doaj +1 more source
Nonlinear elliptic problems with the method of finite volumes
Differential Equations and Nonlinear Mechanics, 2006 We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj +1 more source