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هيفاء محمد عبدالرحمن بن جبرين

Associate Professor

عضو هيئة تدريس

كلية العلوم
المدينة الجامعية للطالبات مبنى 5.
publication
Journal Article
2021

The investigation of the fractional-view dynamics of Helmholtz equations within Caputo operator

Rashid Jan, Hassan Khan, Poom Kumam, Fairouz Tchier, Rasool Shah, Haifa Bin Jebreen

It is eminent that partial differential equations are extensively meaningful in physics, mathematics and engineering. Natural phenomena are formulated with partial differential equations and are solved analytically or numerically to interrogate the system’s dynamical behavior. In the present research, mathematical modeling is extended and the modeling solutions Helmholtz equations are discussed in the fractional view of derivatives. First, the Helmholtz equations are presented in Caputo’s fractional derivative. Then Natural transformation, along with the decomposition method, is used to attain the series form solutions of the suggested problems. For justification of the proposed technique, it is applied to several numerical examples. The graphical representation of the solutions shows that the suggested technique is an accurate and effective technique with a high convergence rate than other methods. The less calculation and higher rate of convergence have confirmed the present technique’s reliability and applicability to solve partial differential equations and their systems in a fractional framework.

Publisher Name
Computers, Materials & Continua
Volume Number
(2021) 68
Issue Number
3
more of publication
publications

We offer a wavelet collocation method for solving the weakly singular integro-differential equations with fractional derivatives (WSIDE). Our approach is based on the…

by Haifa Bin Jebreen
2023
Published in:
Fractal and Fractional
publications

We aim to implement the pseudospectral method on fractional Telegraph equation. To implement this method, Chebyshev cardinal functions (CCFs) are considered bases.

by Haifa Bin Jebreen, Beatriz Hernández-Jiménez
2023
publications

This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau…

by Haifa Bin Jebreen, Carlo Cattani
2022
Published in:
MDPI