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Successive approximations and interval halving for fractional BVPs with integral boundary conditionsMarynets, K. (author), Pantova, D.H. (author)We study a system of non-linear fractional differential equations, subject to integral boundary conditions. We use a parametrization technique and a dichotomy-type approach to reduce the original problem to two “model-type” fractional boundary value problems with linear two-point boundary conditions. A numerical-analytic technique is applied...journal article 2024
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Wille, Seppe (author)Offshore installation vessels are growing in size in order that they are capable of handling the next-generation 15 and 20MW wind turbines. At the same time, it is important to gain a better understanding of their structural behaviour using the finite element (FE) method. One approach that is often used is the full vessel FE analysis, which...master thesis 2023
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Jager, Pim (author)In dit verslag is een eolisch sedimenttransport model geformuleerd en het model van De Vries geïmplementeerd en geanalyseerd. Na de afleiding van de eendimensionale advectie-diffusievergelijking vanuit de driedimensionale continuïteitsvergelijking is eerst het model van De Vries zonder diffusie onderzocht. In het model kan er onderscheid gemaakt...bachelor thesis 2023
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Turner, Ben (author)The continuous growth of material consumption places a high burden on the Earth's systems, causing harm to both humans and nature. Transitioning to a circular economy, in which all products and materials retain in cycles, has been promoted by the European Union as a countermeasure to this...master thesis 2023
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Costa Farinha, Daniel (author)A new multiscale fracture mechanics methodology is being developed at TU Delft for composite materials. This methodology aims to unlock the use of hierarchical multiscale frameworks to link sub-ply fracture processes to laminate failure. In this thesis, this methodology is extended to 3D, both in terms of its analytical formulation and the...master thesis 2023
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Shariati, Vahid (author), Roohi, Ehsan (author), Ebrahimi, Amin (author)The direct simulation Monte Carlo (DSMC) method, which is a probabilistic particle-based gas kinetic simulation approach, is employed in the present work to describe the physics of rarefied gas flow in super nanoporous materials (also known as mesoporous). The simulations are performed for different material porosities (0.5≤ϕ≤0.9), Knudsen...journal article 2023
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Saeidi, Omid (author), Rahimi Dalkhani, A. (author)A geomechanics program for wellbore stability analysis has been developed consisting of two modules: an analytical-based solution and a numerical-based solution. In the first part, input data are imported, including petrophysical well logs, pressure data, formation well tops, and a well path. Lithology intervals are set with proper prediction...journal article 2023
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Saitta, Simone (author), Maga, L.M. (author), Armour, Chloe (author), Votta, Emiliano (author), O'Regan, Declan P. (author), Salmasi, M. Yousuf (author), Athanasiou, Thanos (author), Weinsaft, Jonathan W. (author), Xu, Xiao Yun (author), Dr Pirola, S.P. (author), Redaelli, Alberto (author)Background and Objective: Numerical simulations of blood flow are a valuable tool to investigate the pathophysiology of ascending thoratic aortic aneurysms (ATAA). To accurately reproduce in vivo hemodynamics, computational fluid dynamics (CFD) models must employ realistic inflow boundary conditions (BCs). However, the limited availability of...journal article 2023
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Ajay Kumar, Aniketh (author), Mathur, Akshat (author), Gerritsma, M.I. (author), Komen, Ed (author)Several investigations have been undertaken to study the velocity and temperature fields associated with the thermal mixing between fluids, and resulting thermal striping in a T-junction. However, the available experimental databases are not sufficient to describe the involved physics in adequate detail, and, due to experimental limitations,...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author), Wang, J. (author)We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author)We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive...journal article 2023
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Roodenburg, Floris (author)In this thesis we consider the incompressible and stationary Stokes problem with Navier-slip boundary conditions on an infinite two-dimensional wedge with opening angle θ. As is common for differential equations on domains with corners, the problem is decomposed into a singular expansion near the corner (polynomial problem) and a regular...master thesis 2022
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van Dis, Martijn (author)This research focuses on the effects of the socio-technical boundary conditions on the success of chatbot implementation in organizations. To do so, different actor perspectives on "successful implementation" are explored and 33 boundary conditions are proposed. The findings suggest that satisfying the boundary conditions has a positive effect...master thesis 2022
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Tao, N. (author), Anisimov, A. (author), Groves, R.M. (author)Thick composite materials are commonly used as load-bearing structures in marine applications. Developing a suitable and sophisticated non-destructive testing (NDT) method for thick composites is an urgent challenge to improve the safety, reliability and maintenance of these structures. Digital shearography has become an important NDT...journal article 2022
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Hofman, P. (author), Ke, L. (author), van der Meer, F.P. (author)A common choice for multiscale modeling of the mechanical response of composites is to use periodic boundary conditions (PBCs) on square and cubical representative volume elements (RVEs). However, when strain localization occurs in the micromodel, these PBCs are unable to reproduce the transverse isotropy of composite materials with a random...journal article 2022
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Marynets, K. (author), Pantova, D.H. (author)We use a numerical-analytic technique to construct a sequence of successive approximations to the solution of a system of fractional differential equations, subject to Dirichlet boundary conditions. We prove the uniform convergence of the sequence of approximations to a limit function, which is the unique solution to the boundary value...journal article 2022
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Marynets, Vasyl (author), Marynets, K. (author), Kohutych, Oksana (author)We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.journal article 2022
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Paudel, Sandesh (author), Singh, Umesh (author), Crosato, A. (author), Franca, M.J. (author)Assuming that the equilibrium geometry of river channels does not depend on their initial state but solely on boundary conditions, several formulas have been derived that relate the channel depth and width to the river bankfull discharge and bed material. However, due to the existence of a threshold for sediment motion and the strong non...journal article 2022
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Ouchene, Bilal (author)Areas of railways with considerable variation of track properties encountered near structures such as bridges and tunnels are referred to as transition zones. Degradation rates at these transition zones are higher compared to the remaining railways. These high degradation rates result in high maintenance expenses. In order to come up with...master thesis 2021
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Wang, J. (author), van Horssen, W.T. (author), Wang, Jun-Min (author)In this paper an initial–boundary value problem on a bounded, fixed interval is considered for a one-dimensional and forced string equation subjected to a Dirichlet boundary condition at one end of the string and a Robin boundary condition with a slowly varying time-dependent coefficient at the other end of the string. This problem may serve...journal article 2021