Application of reproducing kernel algorithm for solving Dirichlet time-fractional diffusion-Gordon types equations in porous media

OA Arqub, N Shawagfeh - Journal of Porous Media, 2019 - dl.begellhouse.com
Time-fractional partial differential equations describe different phenomena in statistical
physics, applied mathematics, and engineering. In this article, we propose and analyze an …

Convergence theorem for the Haar wavelet based discretization method

J Majak, BS Shvartsman, M Kirs, M Pohlak… - Composite …, 2015 - Elsevier
The accuracy issues of Haar wavelet method are studied. The order of convergence as well
as error bound of the Haar wavelet method is derived for general n th order ODE. The …

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

M Al‐Smadi, O Abu Arqub… - Mathematical Methods in …, 2021 - Wiley Online Library
In this article, a class of generalized telegraph and Cattaneo time‐fractional models along
with Robin's initial‐boundary conditions is considered using the adaptive reproducing kernel …

Solving time-fractional Navier–Stokes equations using homotopy perturbation Elzaki transform

RM Jena, S Chakraverty - SN Applied Sciences, 2019 - Springer
In this article, a hybrid technique called homotopy perturbation Elzaki transform method has
been applied to solve Navier–Stokes equation of fractional order. In the hybrid technique …

A novel expansion iterative method for solving linear partial differential equations of fractional order

A El-Ajou, OA Arqub, S Momani, D Baleanu… - Applied Mathematics …, 2015 - Elsevier
In this manuscript, we implement a relatively new analytic iterative technique for solving time–
space-fractional linear partial differential equations subject to given constraints conditions …

A reliable numerical algorithm for the fractional vibration equation

H Singh, HM Srivastava, D Kumar - Chaos, Solitons & Fractals, 2017 - Elsevier
The key purpose of this article is to introduce a numerical algorithm for the solution of the
fractional vibration equation (FVE). The numerical algorithm is based on the applications of …

An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method

Hajira, H Khan, A Khan, P Kumam, D Baleanu… - Advances in Difference …, 2020 - Springer
In this article, a hybrid technique of Elzaki transformation and decomposition method is used
to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical …

[HTML][HTML] On the accuracy of the Haar wavelet discretization method

J Majak, B Shvartsman, K Karjust, M Mikola… - Composites Part B …, 2015 - Elsevier
Current study contains adaption of Haar wavelet discretization method (HWDM) for FG
beams and its accuracy estimates. The convergence analysis is performed for differential …

A Tau approach for solving time-fractional heat equation based on the shifted sixth-kind Chebyshev polynomials

EM Abdelghany, WM Abd-Elhameed, GM Moatimid… - Symmetry, 2023 - mdpi.com
The time-fractional heat equation governed by nonlocal conditions is solved using a novel
method developed in this study, which is based on the spectral tau method. There are two …

[HTML][HTML] Smooth expansion to solve high-order linear conformable fractional PDEs via residual power series method: Applications to physical and engineering …

A El-Ajou, M Al-Smadi, NO Moa'ath, S Momani… - Ain Shams Engineering …, 2020 - Elsevier
We present a fractional series solution (FSS) for a class of higher-order linear fractional
PDEs. The fractional derivative in this class is considered in the conformable fractional …