High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160108805056 ◽

2001 ◽

Vol 77 (1) ◽

pp. 135-144 ◽

Author(s):

Elsayed M.E.M Elbarbary

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Implicit Finite Difference

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Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2019.1613746 ◽

2019 ◽

Vol 26 (1) ◽

pp. 254-268 ◽

Author(s):

N. A. Mohamed

Keyword(s):

Finite Difference ◽

Burgers Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fully Implicit ◽

Implicit Finite Difference

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The Conservative Time High-Order AVF Compact Finite Difference Schemes for Two-Dimensional Variable Coefficient Acoustic Wave Equations

Journal of Scientific Computing ◽

10.1007/s10915-019-00983-6 ◽

2019 ◽

Vol 80 (2) ◽

pp. 1279-1309 ◽

Author(s):

Baohui Hou ◽

Dong Liang ◽

Hongmei Zhu

Keyword(s):

Finite Difference ◽

Acoustic Wave ◽

Variable Coefficient ◽

Wave Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Compact Finite Difference ◽

Dimensional Variable

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High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2019-0124 ◽

2020 ◽

Vol 12 (1) ◽

pp. 1-29 ◽

Author(s):

Junming Duan & Huazhong Tang

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Relativistic Hydrodynamics ◽

Two Dimensional ◽

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On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/120875570 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2470-2490 ◽

Author(s):

Sean O. Settle ◽

Craig C. Douglas ◽

Imbunm Kim ◽

Dongwoo Sheen

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Poisson Equation ◽

Dirichlet Boundary ◽

Difference Schemes ◽

Dirichlet Boundary Conditions ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Compact Finite Difference ◽

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Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, II

Journal of Computational Physics ◽

10.1006/jcph.2000.6421 ◽

2000 ◽

Vol 160 (1) ◽

pp. 67-87 ◽

Author(s):

Saul S. Abarbanel ◽

Alina E. Chertock ◽

Amir Yefet

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Pdes ◽

Strict Stability ◽

Implicit Finite Difference

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Strict Stability of High-Order Compact Implicit Finite-Difference Schemes: The Role of Boundary Conditions for Hyperbolic PDEs, I

Journal of Computational Physics ◽

10.1006/jcph.2000.6420 ◽

2000 ◽

Vol 160 (1) ◽

pp. 42-66 ◽

Author(s):

Saul S. Abarbanel ◽

Alina E. Chertock

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Pdes ◽

Strict Stability ◽

Implicit Finite Difference

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High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110136 ◽

2021 ◽

Vol 431 ◽

pp. 110136

Author(s):

Junming Duan ◽

Huazhong Tang

Keyword(s):

Finite Difference ◽

Shallow Water ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Entropy Stable ◽

Shallow Water Magnetohydrodynamics

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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High Order Compact Block-Centered Finite Difference Schemes for Elliptic and Parabolic Problems

Journal of Scientific Computing ◽

10.1007/s10915-021-01507-x ◽

2021 ◽

Vol 87 (3) ◽

Author(s):

Yilei Shi ◽

Shusen Xie ◽

Dong Liang ◽

Kai Fu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Parabolic Problems ◽

Finite Difference Schemes

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