Results 11 to 20 of about 9,342,147 (244)
Discrete Dynamics in Nature and Society, 2018 This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
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Entropy, 2015 In this paper, a new analytic iterative technique, called the residual power series method (RPSM), is applied to time fractional Whitham–Broer–Kaup equations. The explicit approximate traveling solutions are obtained by using this method.
Linjun Wang, Xumei Chen
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Mathematics, 2022 In this paper, fractional-order system gas dynamics equations are solved analytically using an appealing novel method known as the Laplace residual power series technique, which is based on the coupling of the residual power series approach with the ...
M. Mossa Al-Sawalha +4 more
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Alexandria Engineering Journal, 2022 In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh +2 more
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Residual Power Series Method for Solving Klein-Gordon Schrödinger Equation
Science Journal of University of Zakho, 2021 In this work, the Residual Power Series Method(RPSM) is used to find the approximate solutions of Klein Gordon Schrödinger (KGS) Equation. Furthermore, to show the accuracy and the efficiency of the presented method, we compare the obtained approximate
Ssaad A. Manaa +2 more
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Fractal and Fractional, 2023 In this paper, the new representations of optical wave solutions to fiber Bragg gratings with cubic–quartic dispersive reflectivity having the Kerr law of nonlinear refractive index structure are retrieved with high accuracy.
Hira Tariq +4 more
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High-Frequency Behavior of Residual Current Devices [PDF]
, 2012 The purpose of this paper is to analyze the behavior of residual current devices at frequencies higher than the rated one. Many experiments are carried out by measuring tripping current and time of devices of different typology, produced by different ...
Freschi, Fabio
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Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations
Complexity, 2019 In this study, an applicable and effective method, which is based on a least-squares residual power series method (LSRPSM), is proposed to solve the time-fractional differential equations.
Jianke Zhang +3 more
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Modelling of multiple impacts for the prediction of distortions and residual stresses induced by ultrasonic shot peening (USP) [PDF]
, 2012 During a manufacturing process, the ultrasonic shot peening (USP) technique can be used as the final surface treatment. The aim of this operation is to introduce surface compressive residual stresses in order to prevent crack propagation advancement ...
Taheri, Sahid +10 more
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Journal of Mathematics, 2023 The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n−1ϖ derivative of the residual function.
Muhammad Imran Liaqat, Eric Okyere
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