Block boundary value methods for solving Volterra integral and integro-differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.01.018 ◽

2012 ◽

Vol 236 (11) ◽

pp. 2822-2837 ◽

Author(s):

Hao Chen ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

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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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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 delay differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2010.05.001 ◽

2010 ◽

Vol 60 (9) ◽

pp. 915-923 ◽

Author(s):

Chengjian Zhang ◽

Hao Chen

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Delay Differential

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Block boundary value methods applied to functional differential equations with piecewise continuous arguments

Applied Numerical Mathematics ◽

10.1016/j.apnum.2017.01.012 ◽

2017 ◽

Vol 115 ◽

pp. 214-224 ◽

Author(s):

Cui Li ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Boundary Value ◽

Functional Differential Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Piecewise Continuous ◽

Functional Differential ◽

Piecewise Continuous Arguments

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Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.11.001 ◽

2012 ◽

Vol 62 (2) ◽

pp. 141-154 ◽

Author(s):

Hao Chen ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Convergence And Stability

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Block boundary value methods for solving linear neutral Volterra integro-differential equations with weakly singular kernels

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113747 ◽

2021 ◽

pp. 113747

Author(s):

Yongtao Zhou ◽

Martin Stynes

Keyword(s):

Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Weakly Singular Kernels ◽

Weakly Singular ◽

Singular Kernels

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Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.010 ◽

2019 ◽

Vol 135 ◽

pp. 367-380 ◽

Author(s):

Yongtao Zhou ◽

Chengjian Zhang

Keyword(s):

Differential Equations ◽

Fractional Differential Equations ◽

Boundary Value ◽

Boundary Value Methods ◽

Block Boundary ◽

Nonlinear Fractional Differential Equations ◽

Caputo Derivatives ◽

Convergence And Stability ◽

Fractional Differential

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Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110648 ◽

2021 ◽

Vol 144 ◽

pp. 110648

Author(s):

Surendra Kumar ◽

Abhishek Sharma ◽

Harendra Pal Singh

Keyword(s):

Stability Analysis ◽

Differential Equations ◽

Global Stability ◽

Fractional Differential Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Global Stability Analysis ◽

Fractional Delay ◽

Fractional Differential ◽

Equations With Delay

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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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