Results 41 to 50 of about 466,026 (339)
Approximate analytical solutions to nonlinear oscillations via semi-analytical method
Alexandria Engineering JournalA modified algebraic method is proposed in this study as an effective semi-analytical method for obtaining analytical solutions for two types of nonlinear differential equations.
Gamal M. Ismail +2 more
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Double power series method for approximating cosmological perturbations [PDF]
, 2017 We introduce a double power series method for finding approximate analytical solutions for systems of differential equations commonly found in cosmological perturbation theory.
Malik, Karim A., Wren, Andrew J.
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Constructing Uniform Approximate Analytical Solutions for the Blasius Problem
Abstract and Applied Analysis, 2014 We propose a simple constructive method which assures uniform accuracy of the approximate analytical solutions for the Blasius problem on the semi-infinite interval 0,∞.
Beong In Yun
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AIP Advances, 2023 This investigation employs contemporary computational and numerical techniques to derive analytical and approximate soliton solutions for the Caudrey–Dodd–Gibbon model, which represents a significant variation of the fifth-order Korteweg–de Vries ...
Mostafa M. A. Khater +3 more
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On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations
Alexandria Engineering Journal, 2022 The principal aim of this paper is to study the approximate solution of nonlinear Caudrey-Dodd-Gibbon equation of fractional order by employing an analytical method. The Caudrey-Dodd-Gibbon equation arises in plasma physics and laser optics.
Jagdev Singh +2 more
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Series Solutions of High-Dimensional Fractional Differential Equations
Mathematics, 2021 In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods.
Jing Chang, Jin Zhang, Ming Cai
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Approximate Analytical Solutions to the Initial Data Problem of Black Hole Binary Systems
, 2000 We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data solutions makes
A. Abramovici +14 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie +4 more
wiley +1 more source
Approximate Analytical Solutions to Nonlinear Oscillations of Horizontally Supported Jeffcott Rotor
Energies, 2022 The present paper focuses on nonlinear oscillations of a horizontally supported Jeffcott rotor. An approximate solution to the system of governing equations having quadratic and cubic nonlinearities is obtained in two cases of practical interest ...
Vasile Marinca, Nicolae Herisanu
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An Analytical Approximation for the Excess Noise Factor of Avalanche Photodiodes with Dead Space [PDF]
, 1999 Approximate analytical expressions are derived for the mean gain and the excess noise factor of avalanche photodiodes including the effect of dead space.
Chen, Zikuan +2 more
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