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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A new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106265 ◽

2020 ◽

Vol 104 ◽

pp. 106265 ◽

Author(s):

Tianliang Hou ◽

Defeng Xiu ◽

Wenzhu Jiang

Keyword(s):

Maximum Principle ◽

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

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Discrete maximum-norm stability of a linearized second order finite difference scheme for Allen-Cahn equation

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20170208 ◽

2017 ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Maximum Norm ◽

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A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.05.006 ◽

2010 ◽

Vol 234 (12) ◽

pp. 3445-3457 ◽

Author(s):

Zhongdi Cen ◽

Aimin Xu ◽

Anbo Le

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Initial Value Problems ◽

Second Order ◽

Singularly Perturbed ◽

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Optimally accurate second-order time-domain finite-difference scheme for acoustic, electromagnetic, and elastodynamic wave modeling: one-dimensional case

IEEE Antennas and Propagation Society Symposium, 2004. ◽

10.1109/aps.2004.1330473 ◽

2004 ◽

Author(s):

C. Bommaraju ◽

R. Marklein

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Time Domain ◽

Finite Difference Scheme ◽

Second Order ◽

Dimensional Case ◽

Wave Modeling ◽

One Dimensional

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A New Second Order Mimetic Finite Difference Scheme to Tackle Boundary Layers-Like Problems

New Trends in Fluid Mechanics Research ◽

10.1007/978-3-540-75995-9_244 ◽

2007 ◽

pp. 730-733

Author(s):

S. Rojas ◽

J. M. Guevara-Jordan

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Boundary Layers ◽

Finite Difference Scheme ◽

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A Linearized Finite Difference Scheme for the Richards Equation Under Variable-Flux Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-020-01196-y ◽

2020 ◽

Vol 83 (1) ◽

Author(s):

Liu Fengnan ◽

Yasuhide Fukumoto ◽

Xiaopeng Zhao

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Richards Equation ◽

Flux Boundary Conditions ◽

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On the Stability of a Weighted Finite Difference Scheme for Hyperbolic Equation with Integral Boundary Conditions

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2015 ◽

10.1007/978-3-319-39929-4_59 ◽

2016 ◽

pp. 617-626

Author(s):

Jurij Novickij ◽

Artūras Štikonas ◽

Agnė Skučaitė

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Hyperbolic Equation ◽

Finite Difference Scheme ◽

Integral Boundary Conditions ◽

Integral Boundary ◽

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A dispersion and norm preserving finite difference scheme with transparent boundary conditions for the Dirac equation in(1+1)D

Journal of Computational Physics ◽

10.1016/j.jcp.2013.09.022 ◽

2014 ◽

Vol 256 ◽

pp. 728-747 ◽

Author(s):

René Hammer ◽

Walter Pötz ◽

Anton Arnold

Keyword(s):

Dirac Equation ◽

Finite Difference ◽

Boundary Conditions ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Transparent Boundary Conditions

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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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A Finite Difference Scheme For Second Order Non-linear Oscillator Differential Equations

Journal of Sound and Vibration ◽

10.1006/jsvi.1994.1486 ◽

1994 ◽

Vol 178 (2) ◽

pp. 285-287 ◽

Author(s):

R.E. Mickens ◽

K. Oyedeji

Keyword(s):

Finite Difference ◽

Differential Equations ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Linear Oscillator ◽

Non Linear Oscillator

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