Finite difference scheme with spatial fourth-order accuracy for a class of time fractional parabolic equations with variable coefficient

Advances in Difference Equations ◽

10.1186/s13662-016-1035-8 ◽

2016 ◽

Vol 2016 (1) ◽

Author(s):

Qinghua Feng ◽

Fanwei Meng

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Parabolic Equations ◽

Finite Difference Scheme ◽

Variable Coefficient ◽

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A fourth order accuracy summation-by-parts finite difference scheme for acoustic reverse time migration in boundary-conforming grids

Journal of Applied Geophysics ◽

10.1016/j.jappgeo.2016.12.002 ◽

2017 ◽

Vol 136 ◽

pp. 498-512 ◽

Author(s):

Ying Wang ◽

Hui Zhou ◽

Sanyi Yuan ◽

Yameng Ye

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Reverse Time ◽

Reverse Time Migration ◽

Order Accuracy ◽

Summation By Parts ◽

Time Migration ◽

Boundary Conforming

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A second-order accurate finite difference scheme for a class of nonlocal parabolic equations with natural boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(96)00097-0 ◽

1996 ◽

Vol 76 (1-2) ◽

pp. 137-146 ◽

Author(s):

Zhi-Zhong Sun

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Parabolic Equations ◽

Finite Difference Scheme ◽

Second Order ◽

Natural Boundary ◽

Nonlocal Parabolic Equations ◽

Natural Boundary Conditions

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An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen–Cahn equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.10.028 ◽

2019 ◽

Vol 77 (4) ◽

pp. 1042-1054 ◽

Author(s):

Jianmin Long ◽

Chaojun Luo ◽

Qian Yu ◽

Yibao Li

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

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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) ◽

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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Optimal Fourth-order Staggered-grid Finite-difference Scheme for 3D Frequency-domain Viscoelastic Wave Modeling

77th EAGE Conference and Exhibition 2015 ◽

10.3997/2214-4609.201413341 ◽

2015 ◽

Author(s):

Y. Li ◽

B. Han ◽

Y. Chen ◽

Q. He

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Frequency Domain ◽

Fourth Order ◽

Finite Difference Scheme ◽

Staggered Grid ◽

Wave Modeling ◽

Viscoelastic Wave

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A conservative fourth-order stable finite difference scheme for the generalized Rosenau–KdV equation in both 1D and 2D

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.01.041 ◽

2019 ◽

Vol 355 ◽

pp. 310-331 ◽

Author(s):

Xiaofeng Wang ◽

Weizhong Dai

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

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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 ◽

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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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

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On the implementation of perfectly matched layers in a three-dimensional fourth-order velocity-stress finite difference scheme

Journal of Geophysical Research Atmospheres ◽

10.1029/2002jb002235 ◽

2003 ◽

Vol 108 (B5) ◽

Author(s):

Carey Marcinkovich ◽

Kim Olsen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Fourth Order ◽

Finite Difference Scheme ◽

Three Dimensional ◽

Perfectly Matched Layers ◽

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A Finite Difference Scheme for Time Integrations of Oscillatory Equations with Second Order Accuracy and Sharp Cut-off for High Frequencies

Journal of the Meteorological Society of Japan Ser II ◽

10.2151/jmsj1965.44.1_85 ◽

1966 ◽

Vol 44 (1) ◽

pp. 85-88 ◽

Author(s):

T. Matsuno

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Order Accuracy ◽

High Frequencies

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