Essays about: "finite-difference"

Showing result 1 - 5 of 98 essays containing the word finite-difference.

  1. 1. Image-driven simulation of brain tumors using a reaction-diffusion mathematical model

    University essay from Linköpings universitet/Avdelningen för medicinsk teknik

    Author : Kristos Qiqi; [2023]
    Keywords : brain tumor; cancer; mathematical model; simulation; magnetic resonance images; hjärntumör; cancer; matematisk model; simulering; magnetresonanstomografi bilder;

    Abstract : Brain tumors pose a big challenge in the field of neuro-oncology. Gliomas are the largest subgroup. Magnetic resonance imaging is a non-invasive tool for detecting and characterizing these tumors. Mathematical models, such as the reaction-diffusion equation, can be used for understanding the intricate behavior of gliomas. READ MORE

  3. 2. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks

    University essay from KTH/Tillämpad fysik

    Author : Jonathan Karlsson; [2023]
    Keywords : Acoustofluidics; Acoustophoresis; Ultrasonic Standing Waves; Acoustic fields; Particle tracking; Bio marking; Akustofluidik; Akustofores; Stående Ultraljuds Vågor; Akustiska fält; Particle tracking; Bio-markering;

    Abstract : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. READ MORE

  4. 3. 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

  5. 4. Merton's Portfolio Problem under Jourdain--Sbai Model

    University essay from Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

    Author : Sajedeh Saadat; [2023]
    Keywords : Merton’s Optimal Investment-Consumption Problem; Dynamic Programming; Hamilton-Jacobi-Bellman equation; Stochastic Volatility Model; Finite-difference method; Crank-Nicolson.;

    Abstract : Portfolio selection has always been a fundamental challenge in the field of finance and captured the attention of researchers in the financial area. Merton's portfolio problem is an optimization problem in finance and aims to maximize an investor's portfolio. READ MORE

  6. 5. 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