Fully discretized methods based on boundary value methods for solving diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126848 ◽

2022 ◽

Vol 418 ◽

pp. 126848

Author(s):

Jingjun Zhao ◽

Xingzhou Jiang ◽

Yang Xu

Keyword(s):

Boundary Value ◽

Diffusion Equations ◽

Boundary Value Methods

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Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations

Numerical Algorithms ◽

10.1007/s11075-019-00773-z ◽

2019 ◽

Vol 84 (2) ◽

pp. 633-649 ◽

Author(s):

Yongtao Zhou ◽

Chengjian Zhang ◽

Luigi Brugnano

Keyword(s):

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Fractional Diffusion Equations ◽

Compact Boundary

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Strang-type preconditioners for solving fractional diffusion equations by boundary value methods

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.08.011 ◽

2015 ◽

Vol 277 ◽

pp. 73-86 ◽

Author(s):

Xian-Ming Gu ◽

Ting-Zhu Huang ◽

Xi-Le Zhao ◽

Hou-Biao Li ◽

Liang Li

Keyword(s):

Boundary Value ◽

Fractional Diffusion ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Fractional Diffusion Equations

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A class of compact boundary value methods applied to semi-linear reaction–diffusion equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.12.033 ◽

2018 ◽

Vol 325 ◽

pp. 69-81 ◽

Author(s):

Huiru Wang ◽

Chengjian Zhang ◽

Yongtao Zhou

Keyword(s):

Boundary Value ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Linear Reaction ◽

Compact Boundary

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Compact block boundary value methods for semi‐linear delay‐reaction–diffusion equations with algebraic constraints

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22474 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1304-1317 ◽

Author(s):

Xiaoqiang Yan ◽

Chengjian Zhang

Keyword(s):

Boundary Value ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Boundary Value Methods ◽

Block Boundary ◽

Linear Delay ◽

Algebraic Constraints

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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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Boundary value methods based on Adams-type methods

Applied Numerical Mathematics ◽

10.1016/0168-9274(95)00041-r ◽

1995 ◽

Vol 18 (1-3) ◽

pp. 23-35 ◽

Author(s):

P. Amodio ◽

F. Mazzia

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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Two-Step Multi-Derivative Boundary Value Methods for Linear IVPs∗

The Journal of Difference Equations and Applications ◽

10.1080/10236199708808081 ◽

1997 ◽

Vol 3 (1) ◽

pp. 1-19 ◽

Author(s):

Paolo Ghelardoni ◽

Pietro Marzulli

Keyword(s):

Boundary Value ◽

Boundary Value Methods

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Analysis of Hamiltonian Boundary Value Methods (HB- VMs)

Line Integral Methods for Conservative Problems ◽

10.1201/b19319-6 ◽

2016 ◽

pp. 100-137

Keyword(s):

Boundary Value ◽

Boundary Value Methods ◽

Hamiltonian Boundary Value Methods

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Chapter 9 Numerical Solution by Boundary Value Methods

Mathematics in Science and Engineering - Nonlinear Two Point Boundary Value Problems ◽

10.1016/s0076-5392(08)61323-5 ◽

1968 ◽

pp. 141-167

Keyword(s):

Numerical Solution ◽

Boundary Value ◽

Boundary Value Methods

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Solution of Two-Dimensional Axisymmetric Laminar Diffusion Flames by Adaptive Boundary Value Methods

Mathematical Modeling in Combustion and Related Topics ◽

10.1007/978-94-009-2770-4_17 ◽

1988 ◽

pp. 261-300 ◽

Author(s):

M. D. Smooke ◽

A. A. Turnbull ◽

R. E. Mitchell ◽

D. E. Keyes

Keyword(s):

Diffusion Flames ◽

Boundary Value ◽

Two Dimensional ◽

Boundary Value Methods ◽

Laminar Diffusion Flames ◽

Laminar Diffusion

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