Results 1 to 10 of about 562,762 (259)

Elzaki residual power series method to solve fractional diffusion equation. [PDF]

PLoS ONE
The 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, Geeta Arora, Homan Emadifar   +2 more
doaj   +3 more sources

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, Tareq Eriqat, Osama Ogilat, Ahmad El-Ajou, Sharifah E. Alhazmi, Shrideh Al-Omari   +5 more
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   +3 more sources

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, P. Veeresha, Haci Mehmet Baskonus   +2 more
doaj   +3 more sources

An alternative approach to the power series method

Selecciones Matemáticas, 2017
This article consider the classical problem of linear non-homogeneous second order Initial Value Problems with analytic coefficients. It classifies the possible kinds of analytic solutions, giving criteria for the nonexistence of analytical solutions and
Márcio Rostirolla Adames
doaj   +4 more sources

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
doaj   +2 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   +3 more sources

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, Zeliha Korpinar, Dumitru Baleanu, Mustafa Inc   +3 more
doaj   +2 more sources

A Closed-Form Solution without Small-Rotation-Angle Assumption for Circular Membranes under Gas Pressure Loading

Mathematics, 2021
The closed-form solution of circular membranes subjected to gas pressure loading plays an extremely important role in technical applications such as characterization of mechanical properties for freestanding thin films or thin-film/substrate systems ...
Xiao-Ting He, Xue Li, Bin-Bin Shi, Jun-Yi Sun   +3 more
doaj   +1 more source

Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process

Universal Journal of Mathematics and Applications, 2022
In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R ...
Kamil Demirci, Fadime Dirik, Sevda Yıldız   +2 more
doaj   +1 more source