Elzaki residual power series method to solve fractional diffusion equation. [PDF]
PLoS ONEThe time-fractional order differential equations are used in many different contexts to analyse the integrated scientific phenomenon. Hence these equations are the point of interest of the researchers.
Rajendra Pant +2 more
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Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations [PDF]
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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Residual Power Series Method for Fractional Swift–Hohenberg Equation [PDF]
Fractal and Fractional, 2019 In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H) equation has been investigated with the help of the residual power series method (RPSM).
D. G. Prakasha +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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Residual power series method for fractional Burger types equations
Nonlinear Engineering, 2016 We present an analytic algorithm to solve the generalized Berger-Fisher (B-F) equation, B-F equation, generalized Fisher equation and Fisher equation by using residual power series method (RPSM), which is based on the generalized Taylor’s series formula ...
Kumar Amit, Kumar Sunil
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ARA-residual power series method for solving partial fractional differential equations
Alexandria Engineering Journal, 2023 In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method.
Aliaa Burqan +3 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 new method for approximate solutions of some nonlinear equations: Residual power series method [PDF]
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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An Improved Version of Residual Power Series Method for Space-Time Fractional Problems [PDF]
Advances in Mathematical Physics, 2022 The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter
Mine Aylin Bayrak +2 more
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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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