Results 11 to 20 of about 144,664 (244)
Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients [PDF]
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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A new iterative algorithm on the time-fractional Fisher equation: Residual power series method
Advances in Mechanical Engineering, 2017 In this article, the residual power series method is used to solve time-fractional Fisher equation. The residual power series method gets Maclaurin expansion of the solution.
Maysaa’ Mohamed Al Qurashi +3 more
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Fractal and Fractional, 2023 In this paper, we present an efficient solution method for solving fractional system partial differential equations (FSPDEs) using the Laplace residual power series (LRPS) method.
Ahmad Shafee +2 more
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Adapting Laplace residual power series approach to the Caudrey Dodd Gibbon equation. [PDF]
Sci RepAbstractIn real-life applications, nonlinear differential equations play an essential role in representing many phenomena. One well-known nonlinear differential equation that helps describe and explain many chemicals, physical, and biological processes is the Caudrey Dodd Gibbon equation (CDGE).
Abdelhafeez SA +4 more
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Analytical treatment of the fractional Zakharov–Kuznetsov equation via the generalized integral residual power series method [PDF]
Scientific ReportsThis study presents a generalized integral residual power series method (GIRPSM) for finding semi-analytical solutions to the nonlinear fractional Zakharov–Kuznetsov equation (FZKE).
Samy A. Abdelhafeez +4 more
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A residual power series technique for solving Boussinesq–Burgers equations
Cogent Mathematics, 2017 AbstractIn this paper, a residual power series method (RPSM) is combining Taylor’s formula series with residual error function, and is investigated to find a novel analytical solution of the coupled strong system nonlinear Boussinesq-Burgers equations according to the time.
Majeed A Yousif, Majeed Bewar
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A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method [PDF]
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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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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