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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

An Efficient Algorithm for Solving Hyperbolic Partial Differential Equations with a Nonlocal Conservation Condition.

H. Bin Jebreen

In this paper, a numerical scheme based on the Galerkin method is extended for solving one-dimensional hyperbolic partial differential equations with a nonlocal conservation condition. To achieve this goal, we apply the interpolating scaling functions. The most important advantages of these bases are orthonormality, interpolation, and having flexible vanishing moments. In other words, to increase the accuracy of the approximation, we can individually or simultaneously increase both the degree of polynomials (multiplicity ) and the level of refinement (refinement level ). The convergence analysis is investigated, and numerical examples guarantee it. To show the ability of the proposed method, we compare it with existing methods, and it can be confirmed that our results are better than them.

Publisher Name
Mathematical Problems in Engineering
Volume Number
2021
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