Results 31 to 40 of about 396,684 (278)

Asymptotics of large eigenvalues for a class of band matrices

, 2012
We investigate the asymptotic behaviour of large eigenvalues for a class of finite difference self-adjoint operators with compact resolvent in $l^2$
ANNE BOUTET DE MONVEL, Boutet de Monvel A., JAN JANAS, LECH ZIELINSKI, Reed M., Reed M., Shubin M. A., Teschl G.   +7 more
core   +1 more source

A New Fifth-Order Finite Difference Compact Reconstruction Unequal-Sized WENO Scheme for Fractional Differential Equations

Fractal and Fractional, 2022
This paper designs a new finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory scheme (CRUS-WENO) for solving fractional differential equations containing the fractional Laplacian operator.
Yan Zhang, Jun Zhu
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

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

On the fourth-order accurate compact ADI scheme for solving the unsteady Nonlinear Coupled Burgers' Equations

, 1998
The two-dimensional unsteady coupled Burgers' equations with moderate to severe gradients, are solved numerically using higher-order accurate finite difference schemes; namely the fourth-order accurate compact ADI scheme, and the fourth-order accurate Du
Adam Y., Adam Y., Arminjon P., Berger A.E., Celia M.A., Chen G., Ciment M., Dahlquist G.G., Datta Gupta A., Dennis S.C.R., EL-Naggar B.B., Fletcher C.J., Fried J.J., Gottlieb D., Gupta M.M., Gupta M.M., Harten A., Hirsh R.S., Jain P.C., Jain P.C., Johnson R.W., Lele S.K., Leonard B.P., Li M., Liniger W., Liu J., M J.H., Orszag S.A., Peaceman D.W., Richtmyer R.D., Rizun V.I., Rubin G., Sharif M.A.R., Shu C.W., Spotz W.F., Weinan E., Whitham G.B., Yavneh I., Yee H.C., Zhang J.   +39 more
core   +2 more sources

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

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  

Sixth-order compact finite difference method for singularly perturbed 1D reaction diffusion problems

Journal of Taibah University for Science, 2017
In this paper, the sixth-order compact finite difference method is presented for solving singularly perturbed 1D reaction–diffusion problems. The derivative of the given differential equation is replaced by finite difference approximations.
Fasika Wondimu Gelu, Gemechis File Duressa, Tesfaye Aga Bullo   +2 more
doaj   +1 more source

On high-order compact schemes for the multidimensional time-fractional Schrödinger equation

Advances in Difference Equations, 2020
In this article, some high-order compact finite difference schemes are presented and analyzed to numerically solve one- and two-dimensional time fractional Schrödinger equations.
Rena Eskar, Xinlong Feng, Ehmet Kasim
doaj   +1 more source

Numerical Approximation of Generalized Burger’s-Fisher and Generalized Burger’s-Huxley Equation by Compact Finite Difference Method

Advances in Mathematical Physics, 2021
In this work, computational analysis of generalized Burger’s-Fisher and generalized Burger’s-Huxley equation is carried out using the sixth-order compact finite difference method.
Ravneet Kaur, null Shallu, Sachin Kumar, V. K. Kukreja   +3 more
doaj   +1 more source