Integration of Stiff Equations [PDF]
Proceedings of the National Academy of Sciences, 1952 Curtiss, C. F., Hirschfelder, J. O.
openaire +4 more sources
New Stable, Explicit, Shifted-Hopscotch Algorithms for the Heat Equation
Mathematical and Computational Applications, 2021 Our goal was to find more effective numerical algorithms to solve the heat or diffusion equation. We created new five-stage algorithms by shifting the time of the odd cells in the well-known odd-even hopscotch algorithm by a half time step and applied ...
Ádám Nagy +4 more
doaj +1 more source
New S-ROCK methods for stochastic differential equations with commutative noise [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 The class of strong stochastic Runge–Kutta (SRK) methods for stochas tic differential equations with a commutative noise proposed by R¨ oßler (2010) is considered.
A. Haghighi
doaj +1 more source
An approximate numerical solution of some of the stiff linear boundary values problems of the second order using the method of matching with multiple shooting and interpolation. [PDF]
مجلة التربية والعلم, 2009 The purpose of this research combining the algorithm of superposition with multiple shooting and interpolation designing for solving Stiff linear boundary value problems in ordinary differential equations.
Mohammed Altai, Suhaib Abdulbaqi
doaj +1 more source
IEEE Access, 2022 The modeling and simulation of fluid power systems are essential parts of the real-time simulation of virtual prototypes of mobile working machines.
Stanislav Ustinov +2 more
doaj +1 more source
Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
European Physical Journal C: Particles and Fields, 2023 We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions as a first designed code in the Milne coordinates. We split the system of differential equations into two parts, a non-stiff
Kouki Nakamura +3 more
doaj +1 more source
A Set of New Stable, Explicit, Second Order Schemes for the Non-Stationary Heat Conduction Equation
Mathematics, 2021 This paper introduces a set of new fully explicit numerical algorithms to solve the spatially discretized heat or diffusion equation. After discretizing the space and the time variables according to conventional finite difference methods, these new ...
Endre Kovács +2 more
doaj +1 more source
Solution of nonlinear stiff differential equations for a three-phase no-load transformer using a Runge–Kutta implicit method [PDF]
Archives of Electrical Engineering, 2022 The paper presents an approach to differential equation solutions for the stiff problem. The method of using the classic transformer model to study nonlinear steady states and to determine the current pulses appearing when the transformer is turned on is
Bernard Baron +4 more
doaj +1 more source
AIP Advances, 2022 Electrohydrodynamic (EHD) thrusters can silently propel small unmanned aerial vehicles without moving parts using corona discharges. Computational fluid dynamics would be a powerful tool to model the EHD thrusters and then optimize them.
Hisaichi Shibata, Ryoji Takaki
doaj +1 more source
Explicit Stable Finite Difference Methods for Diffusion-Reaction Type Equations
Mathematics, 2021 By the iteration of the theta-formula and treating the neighbors explicitly such as the unconditionally positive finite difference (UPFD) methods, we construct a new 2-stage explicit algorithm to solve partial differential equations containing a ...
Humam Kareem Jalghaf +4 more
doaj +1 more source