Results 1 to 10 of about 121,548 (107)
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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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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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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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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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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Laplace-Residual Power Series Method for Solving Time-Fractional Reaction–Diffusion Model
Fractal and Fractional, 2023 Despite the fact the Laplace transform has an appreciable efficiency in solving many equations, it cannot be employed to nonlinear equations of any type.
Moa’ath N. Oqielat +5 more
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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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Residual Power Series Method for Fractional Swift–Hohenberg Equation
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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Solutions of the time fractional reaction–diffusion equations with residual power series method
Advances in Mechanical Engineering, 2016 In this article, the residual power series method for solving nonlinear time fractional reaction–diffusion equations is introduced. Residual power series algorithm gets Maclaurin expansion of the solution.
Fairouz Tchier +3 more
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