Results 51 to 60 of about 11,022,643 (271)
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
Lie Group Method of the Diffusion Equations
Advances in Mathematical Physics, 2014 The diffusion equation is discretized in spacial direction and transformed into the ordinary differential equations. The ordinary differential equations are solved by Lie group method and the explicit Runge-Kutta method. Numerical results showed that Lie
Jian-Qiang Sun +3 more
doaj +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
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
Parallelization of Runge–Kutta Methods for Hardware Implementation
Computation, 2022 Parallel numerical integration is a valuable tool used in many applications requiring high-performance numerical solvers, which is of great interest nowadays due to the increasing difficulty and complexity in differential problems.
Petr Fedoseev +4 more
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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Effective simulation techniques for biological systems [PDF]
, 2004 In this paper we give an overview of some very recent work on the stochastic simulation of systems involving chemical reactions. In many biological systems (such as genetic regulation and cellular dynamics) there is a mix between small numbers of key ...
Tian, T. +3 more
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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
A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes
The Astrophysical Journal, 2022 In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated ...
Naying Zhou +3 more
doaj +1 more source