Sixth-order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Advances in Difference Equations ◽

10.1186/s13662-019-2304-0 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Yang Zhang ◽

Kun Wang ◽

Rui Guo

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme ◽

Robin Boundary Condition ◽

Sixth Order ◽

Download Full-text

An optimal compact sixth-order finite difference scheme for the Helmholtz equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.12.023 ◽

2018 ◽

Vol 75 (7) ◽

pp. 2520-2537 ◽

Author(s):

Tingting Wu ◽

Ruimin Xu

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme ◽

Download Full-text

An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition

Numerical Algorithms ◽

10.1007/s11075-020-00926-5 ◽

2020 ◽

Author(s):

Hatef Dastour ◽

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme ◽

Perfectly Matched Layer ◽

Download Full-text

A generalized optimal fourth-order finite difference scheme for a 2D Helmholtz equation with the perfectly matched layer boundary condition

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113544 ◽

2021 ◽

pp. 113544

Author(s):

Hatef Dastour ◽

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Fourth Order ◽

Finite Difference Scheme ◽

Perfectly Matched Layer ◽

Download Full-text

Exploring fractional order 2‐D Helmholtz equation using finite difference scheme through the bat optimization algorithm

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7271 ◽

2021 ◽

Author(s):

Najeeb Alam Khan ◽

Samreen Ahmed ◽

Oyoon Abdul Razzaq ◽

Ahmad Kamil Mahmood

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Fractional Order ◽

Optimization Algorithm ◽

Finite Difference Scheme

Download Full-text

A high-order ADI finite difference scheme for a 3D reaction-diffusion equation with neumann boundary condition

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21726 ◽

2012 ◽

Vol 29 (3) ◽

pp. 778-798 ◽

Author(s):

Wenyuan Liao

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Reaction Diffusion Equation

Download Full-text

The Best Finite-Difference Scheme for the Helmholtz Equation

American Journal of Computational Mathematics ◽

10.4236/ajcm.2012.23026 ◽

2012 ◽

Vol 02 (03) ◽

pp. 207-212 ◽

Author(s):

T. Zhanlav ◽

V. Ulziibayar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Helmholtz Equation ◽

Finite Difference Scheme

Download Full-text

Appendix 4C: Finite difference scheme to solve the initial and boundary condition problem of a diffusion controlled adsorption model

Studies in Interface Science - Dynamics of Adsorption at Liquid Interfaces - Theory, Experiment, Application ◽

10.1016/s1383-7303(06)80031-1 ◽

1995 ◽

pp. 518-520

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Adsorption Model ◽

Diffusion Controlled ◽

Condition Problem ◽

Controlled Adsorption

Download Full-text

A sixth order finite difference scheme for the convection diffusion equation

Computational Fluid and Solid Mechanics 2003 ◽

10.1016/b978-008044046-0.50296-7 ◽

2003 ◽

pp. 1209-1211

Author(s):

Jun Zhang ◽

Haiwei Sun

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Sixth Order ◽

Convection Diffusion ◽

Convection Diffusion Equation

Download Full-text

Accuracy of the Explicit Planar Free-Surface Boundary Condition Implemented in a Fourth-Order Staggered-Grid Velocity-Stress Finite-Difference Scheme

Bulletin of the Seismological Society of America ◽

10.1785/0120000244 ◽

2001 ◽

Vol 91 (3) ◽

pp. 617-623 ◽

Author(s):

E. Gottschammer

Keyword(s):

Boundary Condition ◽

Free Surface ◽

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Surface Boundary ◽

Free Surface Boundary Condition ◽

Surface Boundary Condition

Download Full-text

High-Order Compact Finite Difference Scheme for Pricing Asian Option with Moving Boundary Condition

Differential Equations and Dynamical Systems ◽

10.1007/s12591-017-0372-8 ◽

2017 ◽

Vol 27 (1-3) ◽

pp. 39-56 ◽

Author(s):

Kuldip Singh Patel ◽

Mani Mehra

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Moving Boundary ◽

Asian Option ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Moving Boundary Condition

Download Full-text