A stable dissipative compact finite difference scheme with global accuracy of ninth order

Computers & Fluids ◽

10.1016/j.compfluid.2019.04.002 ◽

2019 ◽

Vol 185 ◽

pp. 13-21 ◽

Cited By ~ 2

Author(s):

Yaming Chen ◽

Xiaogang Deng

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Global Accuracy

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A linearized, decoupled, and energy-preserving compact finite difference scheme for the coupled nonlinear Schrödinger equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22125 ◽

2016 ◽

Vol 33 (3) ◽

pp. 840-867 ◽

Cited By ~ 11

Author(s):

Tingchun Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Compact finite difference scheme for the solution of a time fractional partial integro-differential equation with a weakly singular kernel

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4549 ◽

2017 ◽

Vol 40 (18) ◽

pp. 7627-7639 ◽

Cited By ~ 5

Author(s):

Akbar Mohebbi

Keyword(s):

Differential Equation ◽

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Singular Kernel ◽

Weakly Singular Kernel ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Integro Differential Equation ◽

Weakly Singular

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A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems

Advances in Difference Equations ◽

10.1186/s13662-017-1115-4 ◽

2017 ◽

Vol 2017 (1) ◽

Cited By ~ 4

Author(s):

Navnit Jha ◽

Neelesh Kumar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Convection Diffusion ◽

Variable Mesh ◽

Diffusion Problems

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A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.09.051 ◽

2012 ◽

Vol 219 (6) ◽

pp. 3187-3197 ◽

Cited By ~ 7

Author(s):

Xin Li ◽

Luming Zhang ◽

Shanshan Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Nonlinear Schrödinger Equation ◽

Finite Difference Scheme ◽

Wave Operator ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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Analysis of a conservative high-order compact finite difference scheme for the Klein–Gordon–Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.02.018 ◽

2019 ◽

Vol 358 ◽

pp. 84-96 ◽

Cited By ~ 2

Author(s):

Jialing Wang ◽

Dong Liang ◽

Yushun Wang

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Schrodinger Equation ◽

High Order ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Klein Gordon

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Convergence of a high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.03.004 ◽

2019 ◽

Vol 143 ◽

pp. 133-145 ◽

Cited By ~ 3

Author(s):

Juan Chen ◽

Fangqi Chen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

High Order ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Klein Gordon

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A fourth-order compact finite difference scheme for solving anN-carrier system with Neumann boundary conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20427 ◽

2009 ◽

pp. NA-NA ◽

Cited By ~ 1

Author(s):

Weizhong Dai ◽

Da Yu Tzou

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Carrier System ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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On the Stability of a Compact Finite Difference Scheme for Option Pricing

Mathematics in Industry - Progress in Industrial Mathematics at ECMI 2010 ◽

10.1007/978-3-642-25100-9_25 ◽

2012 ◽

pp. 215-221 ◽

Cited By ~ 3

Author(s):

Bertram Düring ◽

Michel Fournié

Keyword(s):

Finite Difference ◽

Option Pricing ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

The Stability

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A compact finite difference scheme for the fractional sub-diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2010.10.007 ◽

2011 ◽

Vol 230 (3) ◽

pp. 586-595 ◽

Cited By ~ 242

Author(s):

Guang-hua Gao ◽

Zhi-zhong Sun

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Diffusion Equations ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference

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A predictor–corrector compact finite difference scheme for Burgers’ equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.06.064 ◽

2012 ◽

Vol 219 (3) ◽

pp. 892-898 ◽

Cited By ~ 15

Author(s):

Pei-Guang Zhang ◽

Jian-Ping Wang

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Burgers Equation ◽

Compact Finite Difference Scheme ◽

Compact Finite Difference ◽

Predictor Corrector

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