Sökning: "Fourth-Order Runge-Kutta method"

Visar resultat 1 - 5 av 12 uppsatser innehållade orden Fourth-Order Runge-Kutta method.

  1. 1. Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Ibrohim Hamoud; [2023]
    Nyckelord :;

    Sammanfattning : In this work, we present the numerical implementation of various time marching methods based on the summation-by-parts (SBP) method for the time integration of nonlinear dispersive systems. More specifically, we consider the nonlinear Schrödinger (NLS) equation that accepts soliton or soliton-like solution as a primary case study. LÄS MER

  3. 2. A high-order artificial viscosity finite element method for the Vlasov-Poisson system

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Junjie Wen; [2023]
    Nyckelord :;

    Sammanfattning : We introduce a finite element method with high-order accuracy for approximating the Vlasov-Poisson system. This method uses continuous Lagrange polynomials as basis functions and employs explicit Runge-Kutta schemes for time discretization. A residual-based artificial viscosity technique is applied for stabilization. LÄS MER

  4. 3. Generating Perturbative Solutions for Slowly Rotating Perfect Fluids Using the Hartle Scheme

    Uppsats för yrkesexamina på avancerad nivå, Umeå universitet/Institutionen för fysik

    Författare :Elin Johansson; [2023]
    Nyckelord :;

    Sammanfattning : In this thesis, we study slowly rotating relativistic stars by modeling them as perfect fluids. The Hartle formalism is used to perturb a spherically symmetric static solution into slow rotation and the corresponding field equations to second order are presented. LÄS MER

  5. 4. Fourth-Order Runge-Kutta Method for Generalized Black-Scholes Partial Differential Equations

    Kandidat-uppsats, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

    Författare :Sidra Tajammal; [2021]
    Nyckelord :Generalized Black-Scholes partial differential equations; Finite difference methods; Fourth-Order Runge-Kutta method; Stability and Convergence;

    Sammanfattning : The famous Black-Scholes partial differential equation is one of the most widely used and researched equations in modern financial engineering to address the complex evaluations in the financial markets. This thesis investigates a numerical technique, using a fourth-order discretization in time and space, to solve a generalized version of the classical Black-Scholes partial differential equation. LÄS MER

  7. 5. Development of a CFD model and methodology for the internal flow simulation in a hydrogen-powered UAV

    Master-uppsats, KTH/Flygdynamik

    Författare :Alessandro Porcarelli; [2021]
    Nyckelord :Fluid-dynamics; Internal Flow; Scalar Transport; UAV; Fuel Cells; OpenFOAM; Pointwise; Vätskedynamik; internt flöde; skalär transport; UAV; bränsleceller; OpenFOAM; Pointwise;

    Sammanfattning : In the context of an aviation industry whose top priority is to face the sustainability challenge, the growing civil UAV branch is not an exception. Hydrogen-powered UAVs equipped with PEM (Polymer Electrolyte Membrane) fuel cells are more and more frequently identified as the most convincing and promising technology, particularly for long-endurance mission requirements. LÄS MER