Results 31 to 40 of about 327,371 (280)

A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel [PDF]

Journal of Sciences, Islamic Republic of Iran, 2017
Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where .
J. Biazar, A. Aasaraai, M. B. Mehrlatifan   +2 more
doaj  

Improved real-time dynamics from imaginary frequency lattice simulations [PDF]

, 2017
The computation of real-time properties, such as transport coefficients or bound state spectra of strongly interacting quantum fields in thermal equilibrium is a pressing matter.
Pawlowski, Jan M., Rothkopf, Alexander
core   +2 more sources

Fourth-Order Compact Finite Difference Method for the Schrödinger Equation with Anti-Cubic Nonlinearity

Mathematics
In this paper, we present a compact finite difference method for solving the cubic–quintic Schrödinger equation with an additional anti-cubic nonlinearity.
He Yang
doaj   +1 more source

An Efficient Compact Difference Method for Temporal Fractional Subdiffusion Equations

Advances in Mathematical Physics, 2019
In this paper, a high-order compact finite difference method is proposed for a class of temporal fractional subdiffusion equation. A numerical scheme for the equation has been derived to obtain 2-α in time and fourth-order in space.
Lei Ren, Lei Liu
doaj   +1 more source

Solving Lane–Emden equations with boundary conditions of various types using high-order compact finite differences

Applied Mathematics in Science and Engineering, 2023
In this study, a high-order compact finite difference method is used to solve Lane–Emden equations with various boundary conditions. The norm is to use a first-order finite difference scheme to approximate Neumann and Robin boundary conditions, but that ...
James Malele, Phumlani Dlamini, Simphiwe Simelane   +2 more
doaj   +1 more source

Effective numerical treatment of sub-diffusion equation with non-smooth solution

, 2018
In this paper we investigate a sub-diffusion equation for simulating the anomalous diffusion phenomenon in real physical environment. Based on an equivalent transformation of the original sub-diffusion equation followed by the use of a smooth operator ...
Li, Yan, Nie, Yufeng, Wang, Jungang, Yang, Zongze   +3 more
core   +1 more source

Compact difference scheme for two-dimensional fourth-order hyperbolic equation

Advances in Difference Equations, 2019
In this paper, we mainly study an initial and boundary value problem of a two-dimensional fourth-order hyperbolic equation. Firstly, the fourth-order equation is written as a system of two second-order equations by introducing two new variables. Next, in
Qing Li, Qing Yang
doaj   +1 more source

Novel 3D coupled convection–diffusion model algorithm

AIP Advances, 2022
The potential of a partial differential equations model is to anticipate its computational behavior. The simulation of a transient 3D coupled convection–diffusion system using a numerical model is described. The main objective of this article is to offer
Muhammad Saqib, Shahid Hasnain, Abdul Khaliq, Uzair Ahmed, Nawal Odah Al-Atawi, Daoud Suleiman Mashat   +5 more
doaj   +1 more source

Two different temporal domain integration schemes combined with compact finite difference method to solve modified Burgers’ equation

Ain Shams Engineering Journal, 2022
The modified Burgers’ equation has application in various fields such as explosions and sonic boom theory, propagation of torsional waves in thin circular viscoelastic rod, acoustic waves produced by laser radiations, etc.
Ravneet Kaur, Shallu, V.K. Kukreja, Nabendra Parumasur, Pravin Singh   +4 more
doaj   +1 more source

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

Advanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu, Timon Steinhoff, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Christian Klose, Ludger Overmeyer, Hans‐Jürgen Maier, Nina Merkert   +8 more
wiley   +1 more source