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A robust approach for computing solutions of fractional-order two-dimensional Helmholtz equation. [PDF]

Sci Rep
Nadeem M, Li Z, Kumar D, Alsayaad Y.
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Laplace residual power series method for the numerical solution of time-fractional Newell–Whitehead–Segel model

International Journal of Numerical Methods for Heat & Fluid Flow, 2023
Purpose This study aims to investigate the approximate solution of the time fractional time-fractional Newell–Whitehead–Segel (TFNWS) model that reflects the appearance of the stripe patterns in two-dimensional systems. The significant results of plot distribution show that the proposed approach is highly authentic and reliable for the fractional ...
Xiankang Luo, Muhammad Nadeem
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Solving Fuzzy Non-homogeneous Wave Equations via Laplace Residual Power Series Approach

New Mathematics and Natural Computation
In this paper, we have applied a new method called Laplace Residual Power Series Method (LRPSM) introduced by Eriqate et al. for solving the fuzzy non-homogeneous wave equation. The algorithm gains powerful results for this kind of problem. Initially, we analyze in general the Laplace residual power series technique, and then we expand it and use it to
Aziz El Ghazouani, M’hamed Elomari
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Solutions of nonlinear Murray equation for blood flow in vessels by Laplace-residual power series

Engineering Computations
Purpose This study aims to introduce a novel hybrid approach called the Laplace-Residual Power Series Method (L-RPSM) for solving fractional nonlinear problems, specifically the Murray differential equation. This method combines the Residual Power Series Method (RPSM) with the Laplace Transform (LT).
Khalid K. Ali, Mohamed S. Mohamed, M. Maneea, Monica Botros   +3 more
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Exact and Approximate Solutions of Heat Fractional Differential Equation Using Laplace Residual Power Series Method

2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
Hussam Aljarrah, Mohammad Alaroud, Anuar Ishak, Maslina Darus, Shaher Momani   +4 more
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Construction of fractional series solutions to nonlinear fractional reaction–diffusion for bacteria growth model via Laplace residual power series method

International Journal of Dynamics and Control, 2022
Moa’ath N. Oqielat, Tareq Eriqat, Zeyad Al-Zhour, Osama Ogilat, Ahmad El-Ajou, Ishak Hashim   +5 more
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Computational Approaches to Solving Some Partial Differential Equations and Neutrosophic Partial Differential with Variable Coefficients Using the Laplace Residual Power Series Method

International Journal of Neutrosophic Science
We employ the Laplace Residual Power Series Method to approximate analytical solutions for differential equations and neutrosophic differential equations with associated parameters, including non-homogeneous equations and fractional formulas in partial differential equations (PDEs).
Mohammed Mohammed, Ahmed Hadi Hussain, Mohammed Abed Daim Zoba, Abdullah hamad salman, Mohammed A. lafta   +4 more
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Flexible self-charging power sources

Nature Reviews Materials, 2022
Ruiyuan Liu, Zhong Lin Wang, Kenjiro Fukuda   +2 more
exaly  

Numerical analysis and stability of a fractional glucose–insulin regulatory system using the laplace residual power series method incorporating the Atangana–Baleanu derivative

International Journal of Modeling, Simulation, and Scientific Computing
This paper investigates the dynamics of a fractional-order glucose–insulin regulatory system using an enhanced Laplace residual power series method incorporating the Atangana–Baleanu derivative. The Atangana–Baleanu derivative, characterized by its nonlocal and nonsingular kernel, offers a more accurate representation of memory and hereditary effects ...
Sayed Saber, Safa M. Mirgani
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Outdoor air pollution and cancer: An overview of the current evidence and public health recommendations

Ca-A Cancer Journal for Clinicians, 2020
Michelle C Turner, Zorana Jovanovic Andersen, Andrea A Baccarelli   +2 more
exaly