Results 11 to 20 of about 112,777 (261)

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients [PDF]

Discrete Dynamics in Nature and Society, 2018
This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
doaj   +3 more sources

Efficient Solution of Fractional System Partial Differential Equations Using Laplace Residual Power Series Method

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, Yousuf Alkhezi, Rasool Shah   +2 more
doaj   +4 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   +3 more sources

Approximate Analytical Solutions of Time Fractional Whitham–Broer–Kaup Equations by a Residual Power Series Method

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
doaj   +4 more sources

Sumudu residual power series method to solve time-fractional Fisher’s equation

Mathematics Open
In 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, Geeta Arora, Homan Emadifar, Ahmed A. Hamoud   +3 more
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   +4 more sources

Numerical solution of fractional diffusion equation by Chebyshev collocation method and residual power series method

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, Ali Demir, Ebru Ozbilge   +2 more
doaj   +4 more sources

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, Fadhil H. Easif, Jomaa J. Murad   +2 more
doaj   +3 more sources

An Improved Version of Residual Power Series Method for Space-Time Fractional Problems [PDF]

Advances in Mathematical Physics, 2022
The task of present research is to establish an enhanced version of residual power series (RPS) technique for the approximate solutions of linear and nonlinear space-time fractional problems with Dirichlet boundary conditions by introducing new parameter
Mine Aylin Bayrak, Ali Demir, Ebru Ozbilge   +2 more
doaj   +4 more sources

Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM)

Journal of Mathematics, 2023
The residual power series method is effective for obtaining solutions to fractional-order differential equations. However, the procedure needs the n−1ϖ derivative of the residual function.
Muhammad Imran Liaqat, Eric Okyere
doaj   +2 more sources