Results 251 to 260 of about 326,003 (288)

Compact Finite Difference Method for Calculating Magnetic Field Components of Cyclotrons

Journal of Computational Physics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Evaluation of Acoustic Simulation Using Wave Equation Finite Difference Time Domain Method with Compact Finite Differences

Japanese Journal of Applied Physics, 2012
In this study, we examine the acoustic simulation method combining the wave equation finite difference time domain (WE FD-TD) method and compact FDs (CPFDs) for the second derivative. The wave equation compact finite difference time domain (WE CPFD-TD) method does not require calculation of the particle velocity; therefore, it can reduce the ...
Naoki Kawada, Takeshi Yoda, Norio Tagawa, Takao Tsuchiya, Kan Okubo   +4 more
openaire   +1 more source

High-Order Compact Finite Difference Methods for Solving the High-Dimensional Helmholtz Equations

Computational Methods in Applied Mathematics, 2022
Abstract In this paper, the sixth-order compact finite difference schemes for solving two-dimensional (2D) and three-dimensional (3D) Helmholtz equations are proposed. Firstly, the sixth-order compact difference operators for the second-order derivatives are applied to approximate the Laplace operator.
Wang, Zhi, Ge, Yongbin, Sun, Hai-Wei
openaire   +2 more sources

High-Order Compact Finite Difference Method for Black–Scholes PDE

2015
In this paper, Black–Scholes PDE is solved for European option pricing by high-order compact finite difference method using polynomial interpolation. Numerical results obtained are compared with standard finite difference method and error with the analytic solution is discussed.
Kuldip Singh Patel, Mani Mehra
openaire   +1 more source

Compact finite difference methods for high order integro-differential equations

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Novel interconnect modeling by using high-order compact finite difference methods

Proceedings of the 12th ACM Great Lakes Symposium on VLSI - GLSVLSI '02, 2002
The high-order compact finite difference (HCFD) method is adapted for interconnect modeling. Based on the compact finite difference method, the HCFD method employs the Chebyshev polynomials to construct the approximation framework for interconnect discretization, and leads to improved equivalent-circuit models.
Qinwei Xu, Pinaki Mazumder
openaire   +1 more source

Solving the Fokker-Planck equation via the compact finite difference method

2020
Summary: In this study, we solve the Fokker-Planck equation by a compact finite difference method. By the finite difference method the computation of Fokker-Planck equation is reduced to a system of ordinary differential equations. Two different methods, boundary value method and cubic \(C^1\)-spline collocation method, for solving the resulting system
Sepehrian, Behnam, Karimi Radpoor, Marzieh   +1 more
openaire   +1 more source

Compact Combination of the Finite Element, Linear Iteration and Finite Difference Methods

1994
The Galerkin Finite Element Method (FEM), Newton Linear Iteration Method (LIM)1 and Newmark Finite Difference Method (FDM) form a powerful trio of numerical techniques for obtaining approximate solutions to Non-Linear Initial Boundary Value Problems (NLIBVP) governed by Non-Linear Partial Differential Equations (NLPDE).
openaire   +1 more source

Implementation of high‐order compact finite‐difference method to parabolized Navier–Stokes schemes

International Journal for Numerical Methods in Fluids, 2008
AbstractThe numerical solution to the parabolized Navier–Stokes (PNS) and globally iterated PNS (IPNS) equations for accurate computation of hypersonic axisymmetric flowfields is obtained by using the fourth‐order compact finite‐difference method. The PNS and IPNS equations in the general curvilinear coordinates are solved by using the implicit finite ...
Esfahanian, Vahid, Hejranfar, Kazem, Darian, Hossein Mahmoodi   +2 more
openaire   +2 more sources

Compact Finite Difference Methods for the Solution of Chemical Engineering Problems

1996
Compact finite differencing is a means of achieving high order discretizations of partial differential equations without an enlargement of the bandwidth of the resulting set of discretized equations. For second order problems in one space dimension a discretization having fourth order accuracy can be constructed.
E. E. Dieterich, G. Eigenberger
openaire   +1 more source