Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations

Wenjie Liu; Jiebao Sun; Boying Wu

doi:10.1007/s11075-015-0002-x

Galerkin-Chebyshev spectral method and block boundary value methods for two-dimensional semilinear parabolic equations

Numerical Algorithms ◽

10.1007/s11075-015-0002-x ◽

2015 ◽

Vol 71 (2) ◽

pp. 437-455 ◽

Cited By ~ 6

Author(s):

Wenjie Liu ◽

Jiebao Sun ◽

Boying Wu

Keyword(s):

Spectral Method ◽

Parabolic Equations ◽

Boundary Value ◽

Semilinear Parabolic Equations ◽

Two Dimensional ◽

Boundary Value Methods ◽

Block Boundary ◽

Chebyshev Spectral Method ◽

Semilinear Parabolic

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Space-time spectral method for two-dimensional semilinear parabolic equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3532 ◽

2015 ◽

Vol 39 (7) ◽

pp. 1646-1661 ◽

Cited By ~ 4

Author(s):

Wenjie Liu ◽

Jiebao Sun ◽

Boying Wu

Keyword(s):

Spectral Method ◽

Parabolic Equations ◽

Space Time ◽

Semilinear Parabolic Equations ◽

Two Dimensional ◽

Time Spectral Method ◽

Semilinear Parabolic

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Behavior as t ? +? of positive solutions of the first boundary value problem for semilinear parabolic equations

Mathematical Notes ◽

10.1007/bf01156129 ◽

1991 ◽

Vol 50 (3) ◽

pp. 893-898

Author(s):

R. Ya. Glagoleva

Keyword(s):

Boundary Value Problem ◽

Positive Solutions ◽

Parabolic Equations ◽

Boundary Value ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Boundary value problems for semilinear parabolic equations in unbounded domains without conditions at infinity

Siberian Mathematical Journal ◽

10.1007/bf02110717 ◽

1996 ◽

Vol 37 (5) ◽

pp. 860-867 ◽

Cited By ~ 6

Author(s):

N. M. Bokalo

Keyword(s):

Boundary Value Problems ◽

Parabolic Equations ◽

Boundary Value ◽

Unbounded Domains ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic ◽

Conditions At Infinity

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On unique solvability of boundary value problems for semilinear parabolic equations in unbounded domains without conditions at infinity

Siberian Mathematical Journal ◽

10.1007/bf00975162 ◽

1993 ◽

Vol 34 (4) ◽

pp. 620-627 ◽

Cited By ~ 7

Author(s):

N. M. Bokalo

Keyword(s):

Boundary Value Problems ◽

Unique Solvability ◽

Parabolic Equations ◽

Boundary Value ◽

Unbounded Domains ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic ◽

Conditions At Infinity

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Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations

Science in China Series A Mathematics ◽

10.1007/s11425-009-0040-8 ◽

2009 ◽

Vol 52 (11) ◽

pp. 2362-2388 ◽

Cited By ~ 14

Author(s):

HongLin Liao ◽

HanSheng Shi ◽

ZhiZhong Sun

Keyword(s):

Domain Decomposition ◽

Parabolic Equations ◽

Decomposition Algorithms ◽

Semilinear Parabolic Equations ◽

Two Dimensional ◽

Semilinear Parabolic

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Convergence of block boundary value methods for solving delay differential algebraic equations with index-1 and index-2

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126034 ◽

2021 ◽

Vol 399 ◽

pp. 126034

Author(s):

Jingjun Zhao ◽

Xingzhou Jiang ◽

Yang Xu

Keyword(s):

Boundary Value ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Index 2 ◽

Delay Differential

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Global Existence, Exponential Decay and Blow-up in Finite Time for a Class of Finitely Degenerate Semilinear Parabolic Equations

Acta Mathematica Scientia ◽

10.1007/s10473-019-0508-8 ◽

2019 ◽

Vol 39 (5) ◽

pp. 1290-1308 ◽

Cited By ~ 1

Author(s):

Hua Chen ◽

Huiyang Xu

Keyword(s):

Global Existence ◽

Exponential Decay ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global existence and local continuity of solutions for semilinear parabolic equations

Communications in Partial Differential Equations ◽

10.1080/03605309708821310 ◽

1997 ◽

Vol 22 (9-10) ◽

pp. 1529-1557 ◽

Cited By ~ 14

Author(s):

S. Zhang

Keyword(s):

Global Existence ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

Continuity Of Solutions ◽

Semilinear Parabolic

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Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2009.08.028 ◽

2009 ◽

Vol 80 (4) ◽

pp. 808-813 ◽

Cited By ~ 10

Author(s):

Xu Runzhang

Keyword(s):

Asymptotic Behavior ◽

Energy Level ◽

Parabolic Equations ◽

Blow Up ◽

Critical Energy ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Boundedness and Almost Periodicity of Solutions for a Class of Semilinear Parabolic Equations with Boundary Degeneracy

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-020-0200-2 ◽

2020 ◽

Vol 41 (2) ◽

pp. 303-324

Author(s):

Yi Xie ◽

Peidong Lei

Keyword(s):

Parabolic Equations ◽

Almost Periodicity ◽

Semilinear Parabolic Equations ◽

Boundary Degeneracy ◽

Semilinear Parabolic

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