Numerical solution of singularly perturbed 2D parabolic initial‐boundary‐value problems based on reproducing kernel theory: Error and stability analysis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22706 ◽

2020 ◽

Author(s):

Mojtaba Fardi ◽

Mehdi Ghasemi

Keyword(s):

Stability Analysis ◽

Numerical Solution ◽

Reproducing Kernel ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reproducing Kernel Theory ◽

Initial Boundary Value ◽

Kernel Theory ◽

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Reproducing Kernel Method for Singularly Perturbed One-Dimensional Initial-Boundary Value Problems with Exponential Initial Layers

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-017-0242-3 ◽

2017 ◽

Vol 17 (1) ◽

pp. 177-187 ◽

Author(s):

Fazhan Geng ◽

Zhiqiang Tang ◽

Yongfang Zhou

Keyword(s):

Boundary Value Problems ◽

Reproducing Kernel ◽

Kernel Method ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reproducing Kernel Method ◽

One Dimensional ◽

Initial Layers ◽

Initial Boundary Value

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Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.1966.1138693 ◽

1966 ◽

Vol 14 (3) ◽

pp. 302-307 ◽

Cited By ~ 6519

Author(s):

Kane Yee

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Maxwell’S Equations ◽

Maxwell's Equations ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Isotropic Media ◽

Initial Boundary Value

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The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

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Stability analysis for initial-boundary value problems

Numerical Methods - Lecture Notes in Mathematics ◽

10.1007/bfb0112530 ◽

1983 ◽

pp. 128-141 ◽

Author(s):

Bertil Gustafsson

Keyword(s):

Stability Analysis ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the Numerical Solution of Initial/Boundary-Value Problems in One Space Dimension

SIAM Journal on Numerical Analysis ◽

10.1137/0719048 ◽

1982 ◽

Vol 19 (4) ◽

pp. 683-697 ◽

Author(s):

Andrew B. White, Jr.

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Space Dimension ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value ◽

One Space Dimension

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The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0912007 ◽

1991 ◽

Vol 12 (1) ◽

pp. 127-144 ◽

Author(s):

Graeme Fairweather ◽

Rick D. Saylor

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the combination of some semi-discretization methods and boundary integral equations for the numerical solution of initial boundary value problems

PAMM ◽

10.1002/1617-7061(200203)1:1<424::aid-pamm424>3.0.co;2-f ◽

2002 ◽

Vol 1 (1) ◽

pp. 424

Author(s):

R. Chapko

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Value ◽

Initial Boundary ◽

Boundary Integral ◽

Initial Boundary Value Problems ◽

Discretization Methods ◽

Initial Boundary Value

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Robust numerical scheme for singularly perturbed convection–diffusion parabolic initial–boundary-value problems on equidistributed grids

Computer Physics Communications ◽

10.1016/j.cpc.2014.04.004 ◽

2014 ◽

Vol 185 (7) ◽

pp. 2008-2019 ◽

Author(s):

S. Gowrisankar ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Numerical Scheme ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Convection Diffusion ◽

Initial Boundary Value

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Singularly Perturbed Initial-Boundary Value Problems with a Pulse in the Initial Condition

Lecture Notes in Computational Science and Engineering - Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 ◽

10.1007/978-3-319-67202-1_7 ◽

2017 ◽

pp. 87-99 ◽

Author(s):

José Luis Gracia ◽

Eugene O’Riordan

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Condition ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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On the Sharpness of Error Bounds for the Numerical Solution of Initial Boundary Value Problems by Finite Difference Schemes

Zeitschrift für Analysis und ihre Anwendungen ◽

10.4171/zaa/678 ◽

1995 ◽

Vol 14 (2) ◽

pp. 347-367 ◽

Author(s):

H. Esser ◽

St. J. Goebbels ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Boundary Value Problems ◽

Error Bounds ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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