Essays about: "FINITE DIFFERENCE METHODS"

Showing result 1 - 5 of 88 essays containing the words FINITE DIFFERENCE METHODS.

1. 1. On linear Reaction-Diffusion systems and Network Controllability

   University essay from KTH/Skolan för teknikvetenskap (SCI)

   Author : Rebecka Aulin; Felicia Hage; [2023]
   Keywords : Turing s model of morphogenesis; FDM; FEM; Controllability; Minimal Control; Least Energy Control;

   Abstract : In 1952 Alan Turing published his paper "The Chemical Basis of Morphogenesis", which described a model for how naturally occurring patterns, such as the stripes of a zebra and the spots of a leopard, can arise from a spatially homogeneous steady state through diffusion. Turing suggested that the concentration of the substances producing the patterns is determined by the reaction kinetics, how the substances interact, and diffusion. READ MORE

3. 2. Implementation and study of boundary integral operators related to PDE:s in the plane

   University essay from Lunds universitet/Matematik LTH

   Author : Erik Andersson; [2023]
   Keywords : Boundary integral equation; Singular integral operator; Product integration; Close evaluation; Numerical integration; MATLAB; Mathematics and Statistics;

   Abstract : The method of solving boundary value problems of partial differential equations numerically by first reformulating the problem as a boundary integral equation has many advantages over other methods, but also some unique difficulties. Some of these difficulties stem from problems in evaluating singular or nearly singular integral operators, and solving these difficulties is an active field of research. READ MORE

4. 3. Numerical Simulation of the Generalized Modified Benjamin-Bona-Mahony Equation Using SBP-SAT in Time

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Vilma Kjelldahl; [2023]
   Keywords : Benjamin-Bona-Mahony equation; non-linear; initial boundary value problem; summation-by-parts; simultaneous-approximation-term; time integration; simulation;

   Abstract : This paper describes simulations of the generalized modified Benjamin-Bona-Mahony (BBM) equation, using finite difference methods (FDM). Well-posed boundary conditions (BCs) as well as stable semi-discrete approximations are derived using summations-by-parts (SBP) operators combined with the projection method. READ MORE

5. 4. Utilisation of hardwood in cross-laminated timber - A numerical study on vibrations in floors

   University essay from Lunds universitet/Byggnadsmekanik; Lunds universitet/Institutionen för byggvetenskaper

   Author : Johannes Jonasson; Olle Karlsson; [2022]
   Keywords : hardwood; birch; beech; clt; cross-laminated timber; vibrations; floors; footfall; accelerations; Technology and Engineering;

   Abstract : Cross-laminated timber (CLT) is an engineered wood product consisting of several layers of laminations bonded together with adhesives. In contrast to heavier construction materials, timber and other lightweight building materials are more prone to serviceability issues due to vibrations. READ MORE

6. 5. Computation of Acoustic Wave Propagation Under Water

   University essay from KTH/Matematik (Avd.)

   Author : Frida Thörn; [2022]
   Keywords : Wave equation; Helmholtz equation; Waveholtz iteration; finite difference method; summation by parts; energy method; point source; curvilinear coordinates; vågekvationen; helmholtz ekvation; waveholtz iteration; finita differens methoden; energimetoden; punktkälla; kurvlinjära koordinater; kroklinjiga koordinater; SBP;

   Abstract : In this thesis we look at acoustic wave propagation under water. We look in particular at waves generated by a point source and what happens with the propagation when we model the bottom as flat or as curvilinear. We assume the source to be working at a certain frequency and therefore we model this problem by solving the Helmholtz equation. READ MORE