M. Abdelbagi; A. Laadhari. Cubic-Convergent Newton-Type Methods for Nonlinear Differential Equations: Applications to Navier–Stokes via Finite Elements. Journal of Physics: Conference Series. IOP Publishing. Accepted. 1-12 (2025). DOI 10.100/… We investigate cubic-convergent Newton-type methods for nonlinear differential problems, focusing on the variants of Kou, Homeier, and Weerakoon and their multidimensional formulations. The schemes are validated…
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Stabilized weak-gradient discontinuous finite elements with optimal error estimates for second-order elliptic PDEs Laadhari, Aymen « Stabilized weak-gradient discontinuous finite elements with optimal error estimates for second-order elliptic PDEs, » Mathematical Modelling and Numerical Simulation with Applications: 5: 3, 644-680, 2025. ABSTRACT:This work introduces an accurate finite element approach employing a new stabilized discrete weak gradient, designed for…
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A. Laadhari; H. Temimi; Efficient finite element strategy using enhanced high-order and second-derivative-free variants of Newton’s method. Applied Mathematics and Computation, Elsevier. Volume 486, 129058 (2025). DOI https://doi.org/10.1016/j.amc.2024.129058 In this work, we propose a stable finite element approximation by extending higher-order Newton’s method to the multidimensional case for solving nonlinear systems of partial differential equations.This…
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M. Kirane; A. Fino; S. Kerbal; A. Laadhari Non-existence of global weak solutions to semi-linear wave equations involving time-dependent structural damping terms. Applied and Computational Mathematics, 23 (1), pp. 110 – 129 (2024). DOI 10.30546/1683-6154.23.1.2024.110. Laadhari-ACM-24
A. Laadhari; A. Deeb; B. Kaoui; Hydrodynamics simulation of red blood cells:Employing a penalty method with double jump composition of lower order time integrator. Mathematical Methods in the Applied Sciences. Wiley. Accepted, in press. 1-27 (2023). DOI 10.1002/mma.9607. Laadhari-mmas-9607 We propose a numerical framework tailored for simulating the dynamics of vesicles with inextensible…
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M. Kassim; M. Alqahtani; N-E Tatar; and A. Laadhari Nonexistence results for a sequential fractional differential problem, Mathematical Methods in the Applied Sciences published, John Wiley & Sons Ltd. 46 (2023), 16305-16317. DOI https://doi.org/10.1002/mma.9451 KasAlqTatLaa_23 We study in this article a class of sequential fractional differential inequalities involving Caputo fractional derivatives with different orders. The nonexistence…
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Aymen Laadhari; Ahmad Deeb Computational Modeling of Individual Red Blood Cell Dynamics Using Flow Composition and Adaptive Time-Stepping Strategies. Symmetry. Symmetry, 15(6), 1138 (2023). laadhari_composed_bdf2_23 We propose in this article a finite element approximation to study the dynamic behavior of deformable vesicles mimicking red blood cells immersed in a non-Newtonian Casson fluid with…
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MHBM Shariff; Jose Merodio; Roger Bustamante; Aymen Laadhari. A Non-Second-Gradient model of nonlinear Electro-Elastic bodies with fibre stiffness. Symmetry. Accepted, 2023. Laadhari_Electro-Elastic Modelling_23 The study of the mechanical behaviour of fibre-reinforced electro-active polymers (EAPs) with bending stiffness is beneficial in engineering for mechanical design and problem solving. However, constitutive models of fibre-reinforced EAPs with…
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