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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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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Elzaki residual power series method to solve fractional diffusion equation.
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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Solutions of the time fractional reaction–diffusion equations with residual power series method [PDF]
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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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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Axioms, 2023 The Laplace residual power series method was introduced as an effective technique for finding exact and approximate series solutions to various kinds of differential equations.
Haneen Khresat +4 more
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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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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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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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