Results 1 to 10 of about 241,782 (323)

A compact finite difference scheme with absorbing boundary condition for forced KdV equation [PDF]

MethodsX, 2023
Studying the long-time solution behavior of the Korteweg-de Vries (KdV) type equation with a periodic force acting at one end of the long channel is important for simulating the blood flow in artery driven by heart pulses.
Jiaqi Chen, Weizhong Dai
doaj   +3 more sources

A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model [PDF]

The Scientific World Journal, 2022
In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model
N. H. Sweilam, Khloud R. Khater, Zafer M. Asker, Waleed Abdel Kareem   +3 more
doaj   +3 more sources

A general conservative eighth-order compact finite difference scheme for the coupled Schrödinger-KdV equations

AIMS Mathematics, 2023
In this paper, we present a general conservative eighth-order compact finite difference scheme for solving the coupled Schrödinger-KdV equations numerically.
Jiadong Qiu, Danfu Han, Hao Zhou
doaj   +2 more sources

An implicit fully discrete compact finite difference scheme for time fractional diffusion-wave equation

Electronic Research Archive, 2023
In this paper, an implicit compact finite difference (CFD) scheme was constructed to get the numerical solution for time fractional diffusion-wave equation (TFDWE), in which the time fractional derivative was denoted by Caputo-Fabrizio (C-F) sense.
Wenjing An, Xingdong Zhang
doaj   +2 more sources

Development of a fourth-order compact finite difference scheme for simulation of simulated-moving-bed process. [PDF]

Sci Rep, 2020
A fourth-order compact finite difference scheme was developed to solve the model equation of simulated moving bed, which has a boundary condition that is updated along the calculation process and cannot be described as an explicit function of time.
Yao C, Zhang Y, Chen J, Ling X, Jing K, Lu Y, Fan E.   +6 more
europepmc   +2 more sources

An Efficient Non-Standard Numerical Scheme Coupled with a Compact Finite Difference Method to Solve the One-Dimensional Burgers’ Equation

Axioms, 2023
This article proposes a family of non-standard methods coupled with compact finite differences to numerically integrate the non-linear Burgers’ equation.
Komalpreet Kaur, Gurjinder Singh
doaj   +2 more sources

A compact finite difference scheme for solving fractional Black-Scholes option pricing model

Journal of Inequalities and Applications
In this work, we introduce an efficient compact finite difference (CFD) method for solving the time-fractional Black-Scholes (TFBS) option pricing model. The time-fractional derivative is described using Caputo-Fabrizio (C-F) fractional derivative, and a
Yuelong Feng, Xindong Zhang, Yan Chen, Leilei Wei   +3 more
doaj   +2 more sources

Sixth-order compact finite difference scheme with discrete sine transform for solving Poisson equations with Dirichlet boundary conditions

Results in Applied Mathematics, 2021
Compact finite difference methods are very popular for solving differential equations that arise in a wide variety of real-world applications. Despite their popularity, the efficiency of these methods is limited by the need for matrix inversion which is ...
Amanuel Hossiso Gatiso, Melisew Tefera Belachew, Getinet Alemayehu Wolle   +2 more
doaj   +2 more sources

A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations

Advances in Difference Equations, 2020
This paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabolic equations with high accuracy.
Changkai Chen, Xiaohua Zhang, Zhang Liu, Yage Zhang   +3 more
doaj   +2 more sources

A Conservative and Compact Finite Difference Scheme for the Sixth-Order Boussinesq Equation with Surface Tension

Mathematical and Computational Applications
In this study, we propose a conservative and compact finite difference scheme designed to preserve both the mass change rate and energy for solving the sixth-order Boussinesq equation with surface tension.
Xiaofeng Wang, Weizhong Dai, Anjan Biswas   +2 more
doaj   +2 more sources