Results 11 to 20 of about 190,015 (291)
Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity
Journal of Ocean Engineering and Science, 2022 This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq (NLFIPB) dynamic wave equation by applying the extended Riccati-expansion (ERE) method.
Mostafa M.A. Khater, Samir A. Salama
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Semi-Analytical Solutions for the Qi-Type Dynamical System
SymmetryThe aim of present paper is to obtain approximate semi-analytical solutions for the Qi-type dynamical system, while neglecting its chaotic behaviors. These solutions are derived using the Optimal Auxiliary Functions Method (OAFM). The impact of the system’s physical parameters is also investigated.
Remus-Daniel Ene +2 more
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Mathematics, 2023 The goal of this work is to build semi-analytical solutions of the Rikitake-type system by means of the optimal homotopy perturbation method (OHPM) using only two iterations. The chaotic behaviors are excepted.
Remus-Daniel Ene, Nicolina Pop
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Cubic autocatalysis in a reaction–diffusion annulus: semi-analytical solutions
Zeitschrift für angewandte Mathematik und Physik, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alharthi, Muteb +2 more
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Semi-analytical solutions of the nonlinear oscillator with a matrix Lagrange multiplier
Journal of Low Frequency Noise, Vibration and Active Control, 2019 In this paper, a semi-analytical method based on variational iteration formulae is proposed. Second-order nonlinear oscillator equations are numerically investigated by this method. A matrix Lagrange multiplier is given to derive analytical solutions and
Hua Cheng, Yong-Yan Yu
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Complex Fourier series expansion for the liquid-solid phase transition in PCM layers: transient and steady state periodic regimes [PDF]
E3S Web of Conferences, 2021 Semi-analytical solutions to the classical two phase Stefan problem are proposed. Time dependent solutions to the one-dimensional liquid-solid phase transition in a PCM wallboard subjected to isothermal and periodic Dirichlet boundary conditions are ...
Santiago Acosta Rubén Dario +3 more
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Fluids, 2021 This research paper targets the fractional Hirota’s analytical solutions–Satsuma (HS) equations. The conformable fractional derivative is employed to convert the fractional system into a system with an integer–order.
Chen Yue +2 more
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A Semi‐Analytical Solution of Inverse Laplace Transform
Journal of Mathematics, 2022 We propose a general method for constructing the semi‐analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993. Bearing their credits, this method inherits all the merits such as analytical expression, avoiding free parameters, simple calculation with high accuracy ...
Shuang Luo, Fu-yao Zhao
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An efficient semi‐analytical solution of the Reynolds equation [PDF]
PAMM, 2021 AbstractA numerically efficient, semi‐analytical solution of the Reynolds equation for hydrodynamic journal bearings is developed based on the Scaled Boundary Finite Element Method. The pressure field is discretized along the circumferential coordinate of the lubrication gap, while an analytical formulation is used in the axial direction.
Pfeil, Simon +3 more
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Nonlinear analysis of Euler beams resting on a tensionless soil with arbitrary configurations
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background The nonlinear interaction between an elastic Euler beam and a tensionless soil foundation is studied. The exact analytical solutions of the nonlinear problem are rather complicated.
Heba Abdelfatah +2 more
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