Results 11 to 20 of about 19,135,387 (233)
A new method for approximate solutions of some nonlinear equations: Residual power series method
Advances in Mechanical Engineering, 2016 In this work, a powerful iterative method called residual power series method is introduced to obtain approximate solutions of nonlinear time-dependent generalized Fitzhugh–Nagumo equation with time-dependent coefficients and Sharma–Tasso–Olver equation ...
Mustafa Inc +3 more
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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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Sumudu residual power series method to solve time-fractional Fisher’s equation
Mathematics OpenIn this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique.
Rajendra Pant +3 more
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A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method
Mathematics, 2017 In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem.
Muhammed I. Syam
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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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Application of Laplace residual power series method for approximate solutions of fractional IVP’s
Alexandria Engineering Journal, 2022 In this study, different systems of linear and non-linear fractional initial value problems are solved analytically utilizing an attractive novel technique so-called the Laplace residual power series approach, and which is based on the coupling of the ...
Mohammad Alaroud
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Alexandria Engineering Journal, 2023 The relaxation oscillator is a type of oscillator that is based on the nature of physical phenomena that tend to return to equilibrium after being distributed.
Geeta Arora +3 more
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Alexandria Engineering Journal, 2020 In this paper, we propose an efficient Chebyshev collocation scheme to solve diffusion problem including time fractional diffusion equation considering the fractional derivative in the Liouville-Caputo sense. By making use of shifted Chebyshev polynomial
Mine Aylin Bayrak +2 more
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Determination of Residual Stress Distributions in Autofrettaged Thick Cylinders [PDF]
, 2008 High pressure vessels such as gun barrels are autofrettaged in order to increase their operating pressure and fatigue life. Autofrettage causes plastic expansion of the inner section of the cylinder – setting up residual compressive stresses at the ...
Gibson, Michael C.
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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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