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
doaj +2 more sources
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
doaj +3 more sources
A new iterative algorithm on the time-fractional Fisher equation: Residual power series method [PDF]
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
doaj +3 more sources
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
doaj +3 more sources
Sumudu residual power series method to solve time-fractional Fisher’s equation
Mathematics OpenIn this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique.
Rajendra Pant +3 more
doaj +2 more sources
Solutions of Time Fractional fKdV Equation Using the Residual Power Series Method
Cumhuriyet Science Journal, 2022 The fifth-order Korteweg-de Vries (fKdV) equation is a nonlinear model in various long wave physical phenomena. The residual power series method (RPSM) is used to gain the approximate solutions of the time fractional fKdV equation in this study.
Sevil Çulha Ünal
doaj +3 more sources
Asymptotic Solutions of Time-Space Fractional Coupled Systems by Residual Power Series Method [PDF]
Discrete Dynamics in Nature and Society, 2017 This paper focuses on the asymptotic solutions to time-space fractional coupled systems, where the fractional derivative and integral are described in the sense of Caputo derivative and Riemann-Liouville integral.
Wenjin Li, Yanni Pang
doaj +3 more sources
A Numerical Solution of Fractional Lienard’s Equation by Using the Residual Power Series Method [PDF]
Mathematics, 2017 In this paper, we investigate a numerical solution of Lienard’s equation. The residual power series (RPS) method is implemented to find an approximate solution to this problem.
Muhammed I. Syam
doaj +2 more sources
Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method [PDF]
Mathematical Problems in Engineering, 2016 This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems inRn.
Xu, Fei +3 more
openaire +2 more sources
Alexandria Engineering Journal, 2022 In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations.
Rania Saadeh +2 more
doaj +1 more source