Results 51 to 60 of about 4,624 (137)
Optimal Homotopy Asymptotic Method for an Anharmonic Oscillator: Application to the Chen System
Mathematics, 2023 The aim of our work is to obtain the analytic solutions for a new nonlinear anharmonic oscillator by means of the Optimal Homotopy Asymptotic Method (OHAM), using only one iteration. The accuracy of the obtained results comes from the comparison with the
Remus-Daniel Ene, Nicolina Pop
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Large scale detection of half-flats in CAT(0)-spaces
, 2009 For a k-flat F inside a locally compact CAT(0)-space X, we identify various conditions that ensure that F bounds a (k+1)-dimensional half flat in X. Our conditions are formulated in terms of the ultralimit of X. As applications, we obtain (1) constraints
Francaviglia, S., Lafont, J. -F.
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International Journal of Energy Research, Volume 2026, Issue 1, 2026.In this article, we analyze the possibility of enhancing photovoltaic (PV) grid systems using a specialized single‐phase multilevel inverter (SMLI). This work may solve the most serious challenges of large‐scale PV grid interconnection by reducing the number of switches and improving efficiency and cost.
R. Deebika +2 more
wiley +1 more source
A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy ...
B. Radhakrishnan +3 more
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International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai +4 more
wiley +1 more source
Open Physics, 2020 In this study, the Daftardar–Jeffery polynomials are incorporated in the homotopy of the optimal homotopy asymptotic method (OHAM) for solving the generalized Hirota–Satsuma coupled system of Korteweg–de Vries equations. The results are displayed through
Hussain Zawar +7 more
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Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt. [PDF]
PLoS ONE, 2015 This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal.
Taza Gul +5 more
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On the Limiting Stokes' Wave of Extreme Height in Arbitrary Water Depth
, 2018 As mentioned by Schwartz (1974) and Cokelet (1977), it was failed to gain convergent results of limiting Stokes' waves in extremely shallow water by means of perturbation methods even with the aid of extrapolation techniques such as Pad\'{e} approximant.
Liao, Shijun, Zhong, Xiaoxu
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Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group
Open Physics, 2016 The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel +2 more
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Mathematics, 2022 This paper emphasizes some geometrical properties of the Maxwell–Bloch equations. Based on these properties, the closed-form solutions of their equations are established.
Remus-Daniel Ene +3 more
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