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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Residual power series algorithm for fractional cancer tumor models
Alexandria Engineering Journal, 2020 In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution.
Zeliha Korpinar +3 more
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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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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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Dynamical analysis of a nonlinear oscillator chain in the Peyrard–Bishop DNA model using residual power series and Laplace residual power series method [PDF]
Iranian Journal of Numerical Analysis and OptimizationIn this study, we investigate the numerical exploration of the Peyrard–Bishop DNA (PBD) dynamic model. These solutions are responsible for analyzing the nonlinear interactions between the adjacent displacements of the DNA strand.
D. Priyadarsini, P.K. Sahu, M. Routaray
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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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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
europepmc +4 more sources
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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