Results 11 to 20 of about 763,518 (232)
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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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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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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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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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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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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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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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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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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Least-Squares Residual Power Series Method for the Time-Fractional Differential Equations
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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