Results 61 to 70 of about 11,954,701 (266)
Fractional Order Runge-Kutta Methods
CoRR, 2022 This paper investigates, a new class of fractional order Runge-Kutta (FORK) methods for numerical approximation to the solution of fractional differential equations (FDEs). By using the Caputo generalizedTaylor formula and the total differential for Caputo fractional derivative, we construct explicit and implicit FORK methods, as the well-known Runge ...
Farideh Ghoreishi, Rezvan Ghaffari
openaire +2 more sources
Radiative Hybrid Nanofluid Flow Over a Porous Riga Surface: A Fuzzy–ANN Modeling Approach
Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT This study proposes a fuzzy–ANN model to investigate the nonlinear thermal transport in a tangent hyperbolic (Tanh) hybrid nanofluid flow past a porous Riga surface, considering the effects of Rosseland diffusion, chemical reactions, and internal volumetric heating.
Azad Hussain, Rabia Zetoon, Reeha Iqbal
wiley +1 more source
Collocation methods for a class of second order initial value problems with oscillatory solutions [PDF]
, 1993 We derive and analyse two families of multistep collocation methods for periodic initial-value problems of the form y" = f(x, y); y((^x)o) = yo, y(^1)(xo) = zo involving ordinary differential equations of second order in which the first derivative ...
Booth, Andrew S.
core
A modified version of explicit Runge-Kutta methods for energy-preserving [PDF]
, 2014 summary:In this paper, Runge-Kutta methods are discussed for numerical solutions of conservative systems. For the energy of conservative systems being as close to the initial energy as possible, a modified version of explicit Runge-Kutta methods is ...
Hu, Guang-Da
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Biofuels, Bioproducts and Biorefining, EarlyView.Abstract Macaúba (Acrocomia aculeata), a native species from Brazilian biomes, has emerged as a sustainable alternative to vegetable oil production. Its fruit presents high oil yield (3–6 ton/ha), extracted from its kernel and pulp. While the kernel is suitable for food and cosmetics application, the pulp oil has been considered as a promising ...
Maria Luiza M. B. B. Gonçalves +4 more
wiley +1 more source
Some notes on summation by parts time integration methods
Results in Applied Mathematics, 2019 Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such as ...
Hendrik Ranocha
doaj +1 more source
Symbolic Derivation of Runge-Kutta Methods
Journal of Symbolic Computation, 1994 This paper is concerned with a symbolic Mathematica package Butcher.m which automates the derivation of order conditions of Runge-Kutta (RK) methods for the numerical solution of ordinary differential equations. It must be noticed that there is a first version of Butcher.m written by Keiper around 1988.
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Automated Data‐Efficient Symbolic Regression for Interpretable Bioprocess Model Development
Biotechnology and Bioengineering, EarlyView.ABSTRACT Bioprocessing is central to the sustainable manufacture of pharmaceuticals, food products, and renewable chemicals. Consequently, developing high‐fidelity kinetic models to facilitate accurate process prediction, optimisation, and scale‐up is a top research priority.
Luca Riezzo +3 more
wiley +1 more source
Application of time step adaptation on the simulation of a gust encounter [PDF]
, 2013 The goal of this work is to implement an adaptive time step size control algorithm using embedded Runge-Kutta methods in the DLR flow solver TAU.
Lenz, Christian
core
Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods
Contributions to Plasma Physics, EarlyView.ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost +3 more
wiley +1 more source