Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112942 ◽

2020 ◽

Vol 378 ◽

pp. 112942 ◽

Author(s):

Xiaoqiang Yan ◽

Chengjian Zhang

Keyword(s):

Hybrid System ◽

Numerical Approximation ◽

Boundary Value ◽

Distributed Delay ◽

Boundary Value Methods ◽

Block Boundary ◽

Nonlinear Hybrid

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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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Asymptotic stability of block boundary value methods for delay differential-algebraic equations

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2010.07.012 ◽

2010 ◽

Vol 81 (1) ◽

pp. 100-108 ◽

Author(s):

Chengjian Zhang ◽

Hao Chen

Keyword(s):

Asymptotic Stability ◽

Boundary Value ◽

Differential Algebraic Equations ◽

Algebraic Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Delay Differential

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Block-Boundary Value Methods for the Solution of Ordinary Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/s1064827597325785 ◽

1999 ◽

Vol 21 (1) ◽

pp. 323-339 ◽

Author(s):

F. Iavernaro ◽

F. Mazzia

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

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Stability analysis of extended block boundary value methods for linear neutral delay integro-differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2012.738812 ◽

2013 ◽

Vol 90 (3) ◽

pp. 705-726 ◽

Author(s):

Jingjun Zhao ◽

Yang Xu ◽

Zheng Gao

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Boundary Value ◽

Neutral Delay ◽

Boundary Value Methods ◽

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Extended block boundary value methods for neutral equations with piecewise constant argument

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.10.005 ◽

2020 ◽

Vol 150 ◽

pp. 182-193 ◽

Author(s):

Chengjian Zhang ◽

Cui Li ◽

Jingyao Jiang

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Neutral Equations ◽

Block Boundary ◽

Piecewise Constant ◽

Piecewise Constant Argument ◽

Constant Argument

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Parallel implementation of block boundary value methods on nonlinear problems: theoretical results

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00040-3 ◽

1998 ◽

Vol 28 (2-4) ◽

pp. 127-141 ◽

Author(s):

Luigi Brugnano ◽

Donato Trigiante

Keyword(s):

Parallel Implementation ◽

Boundary Value ◽

Nonlinear Problems ◽

Boundary Value Methods ◽

Block Boundary ◽

Theoretical Results

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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 ◽

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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Stability analysis of block boundary value methods for neutral pantograph equation

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2012.733703 ◽

2013 ◽

Vol 19 (8) ◽

pp. 1227-1242 ◽

Author(s):

Yang Xu ◽

Jingjun Zhao ◽

Zheng Gao

Keyword(s):

Stability Analysis ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Pantograph Equation

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Block boundary value methods for linear weakly singular Volterra integro-differential equations

BIT Numerical Mathematics ◽

10.1007/s10543-020-00840-1 ◽

2021 ◽

Author(s):

Yongtao Zhou ◽

Martin Stynes

Keyword(s):

Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Weakly Singular

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Block Boundary Value Methods for linear Hamiltonian systems

Applied Mathematics and Computation ◽

10.1016/0096-3003(95)00308-8 ◽

1997 ◽

Vol 81 (1) ◽

pp. 49-68 ◽

Author(s):

L. Brugnano ◽

D. Trigiante

Keyword(s):

Hamiltonian Systems ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Linear Hamiltonian Systems

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