A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

Ling-yun Zhang; Zhi-zhong Sun

doi:10.1002/num.10088

A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Neumann boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10088 ◽

2003 ◽

Vol 20 (2) ◽

pp. 230-247 ◽

Cited By ~ 2

Author(s):

Ling-yun Zhang ◽

Zhi-zhong Sun

Keyword(s):

Difference Scheme ◽

Boundary Value ◽

Neumann Boundary ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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A second-order linearized difference scheme on nonuniform meshes for nonlinear parabolic systems with Dirichlet boundary value conditions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.10065 ◽

2003 ◽

Vol 19 (5) ◽

pp. 638-652 ◽

Cited By ~ 3

Author(s):

Ling-Yun Zhang ◽

Zhi-Zhong Sun

Keyword(s):

Difference Scheme ◽

Dirichlet Boundary ◽

Boundary Value ◽

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Nonuniform Meshes

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Decay bounds in initial-boundary value problems for nonlinear parabolic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(01)00784-2 ◽

2002 ◽

Vol 50 (7) ◽

pp. 899-912 ◽

Cited By ~ 2

Author(s):

L.E. Payne ◽

P.W. Schaefer

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Decay Bounds ◽

Initial Boundary Value

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Transient behavior analysis of vibrationally controlled nonlinear parabolic systems with Neumann boundary conditions

IEEE Transactions on Automatic Control ◽

10.1109/9.241587 ◽

1993 ◽

Vol 38 (10) ◽

pp. 1603-1607 ◽

Cited By ~ 15

Author(s):

J. Bentsman ◽

K.-S. Hong

Keyword(s):

Boundary Conditions ◽

Behavior Analysis ◽

Neumann Boundary ◽

Parabolic Systems ◽

Transient Behavior ◽

Neumann Boundary Conditions ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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Vibrational stabilization of nonlinear parabolic systems with Neumann boundary conditions

IEEE Transactions on Automatic Control ◽

10.1109/9.75112 ◽

1991 ◽

Vol 36 (4) ◽

pp. 501-507 ◽

Cited By ~ 16

Author(s):

J. Bentsman ◽

K.S. Hong

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Parabolic Systems ◽

Neumann Boundary Conditions ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Vibrational Stabilization

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Initial-irregular oblique derivative problems for nonlinear parabolic systems of second order equations with measurable coefficients

Science in China Series A Mathematics ◽

10.1007/bf02878986 ◽

1999 ◽

Vol 42 (7) ◽

pp. 681-690

Author(s):

Guochun Wen

Keyword(s):

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Measurable Coefficients ◽

Nonlinear Parabolic ◽

Oblique Derivative Problems ◽

Second Order Equations

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Vibrational stabilization and transient behavior analysis of nonlinear parabolic systems with Neumann boundary conditions

10.1109/cdc.1989.70382 ◽

2003 ◽

Author(s):

J. Bentsman ◽

K.S. Hong

Keyword(s):

Boundary Conditions ◽

Behavior Analysis ◽

Neumann Boundary ◽

Parabolic Systems ◽

Transient Behavior ◽

Neumann Boundary Conditions ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic ◽

Vibrational Stabilization

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A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems

SIAM Journal on Numerical Analysis ◽

10.1137/19m1296136 ◽

2020 ◽

Vol 58 (5) ◽

pp. 2736-2763

Author(s):

Buyang Li ◽

Yuki Ueda ◽

Guanyu Zhou

Keyword(s):

Parabolic Systems ◽

Second Order ◽

Nonlinear Parabolic Systems ◽

Stabilization Method ◽

Nonlinear Parabolic

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A Finite Difference Scheme for a Class of Nonlinear Parabolic Systems in 3D Space Variables

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1996.0393 ◽

1996 ◽

Vol 203 (2) ◽

pp. 490-517 ◽

Cited By ~ 1

Author(s):

Jennifer J. Zhao

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

3D Space ◽

Nonlinear Parabolic

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Chapter 1 Local behavior of solutions of boundary-value problems for nonlinear parabolic systems in the neighborhood of a stationary or periodic solution.

Qualitative Theory of Parabolic Equations, Part 1 ◽

10.1515/9783110935042.9 ◽

2011 ◽

Keyword(s):

Periodic Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Parabolic Systems ◽

Local Behavior ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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NEWTON-KANTOROVICH ITERATION METHOD FOR SOLVING INVERSE PROBLEMS OF NONLINEAR PARABOLIC SYSTEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30142-5 ◽

1994 ◽

Vol 14 (3) ◽

pp. 283-296

Author(s):

Wenhuan Yu

Keyword(s):

Inverse Problems ◽

Iteration Method ◽

Parabolic Systems ◽

Nonlinear Parabolic Systems ◽

Nonlinear Parabolic

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