A finite-difference method for solving initial-boundary value problems for loaded differential and integro-differential equations

E. A. Bondarev; A. F. Voevodin

doi:10.1007/bf02757374

A finite-difference method for solving initial-boundary value problems for loaded differential and integro-differential equations

Differential Equations ◽

10.1007/bf02757374 ◽

2000 ◽

Vol 36 (11) ◽

pp. 1711-1714 ◽

Cited By ~ 3

Author(s):

E. A. Bondarev ◽

A. F. Voevodin

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Differential Equations ◽

Boundary Value Problems ◽

Difference Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Stability of finite difference schemes for hyperbolic initial boundary value problems II

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE ◽

10.2422/2036-2145.2011.1.03 ◽

2011 ◽

pp. 37-98

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Initial- and initial-/boundary-value problems in partial differential equations

The Numerical Treatment of Differential Equations ◽

10.1007/978-3-662-05500-7_4 ◽

1960 ◽

pp. 260-342

Author(s):

Lothar Collatz

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Initial Boundary Value

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Linear Overdetermined Systems of Partial Differential Equations. Initial and Initial-Boundary Value Problems

Partial Differential Equations VIII - Encyclopaedia of Mathematical Sciences ◽

10.1007/978-3-642-48944-0_1 ◽

1996 ◽

pp. 1-86 ◽

Cited By ~ 9

Author(s):

P. I. Dudnikov ◽

S. N. Samborski

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Overdetermined Systems ◽

Initial Boundary Value

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Two-Step Implicit Higher Order Numerical Integrator for Stiff Systems of Initial -Boundary Value Problems of Ordinary Differential Equations

2020 International Conference in Mathematics, Computer Engineering and Computer Science (ICMCECS) ◽

10.1109/icmcecs47690.2020.246998 ◽

2020 ◽

Author(s):

Johnson O. Fatokun ◽

Samuel I. Okoro

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Higher Order ◽

Initial Boundary Value Problems ◽

Stiff Systems ◽

Numerical Integrator ◽

Initial Boundary Value

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Stable second-order finite-difference methods for linear initial-boundary-value problems

Applied Mathematics Letters ◽

10.1016/j.aml.2005.04.003 ◽

2006 ◽

Vol 19 (2) ◽

pp. 146-154 ◽

Cited By ~ 7

Author(s):

K. George ◽

E.H. Twizell

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems

Series in Contemporary Applied Mathematics - Hyperbolic Problems ◽

10.1142/9789814417099_0014 ◽

2012 ◽

pp. 184-195

Author(s):

Jean-François Coulombel

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(68)90038-3 ◽

1968 ◽

Vol 24 (2) ◽

pp. 372-387 ◽

Cited By ~ 97

Author(s):

Kenneth L Cooke ◽

David W Krumme

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Difference Equations ◽

Boundary Value ◽

Initial Boundary ◽

Hyperbolic Partial Differential Equations ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Initial Boundary Value

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On correct solvability of some initial-boundary value problems for differential equations with degeneracy

Actual directions of scientific researches of the XXI century theory and practice ◽

10.12737/5123 ◽

2014 ◽

Vol 2 (4) ◽

pp. 94-99

Author(s):

A. Kostin

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Correct Solvability ◽

Initial Boundary Value

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The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems

SIAM Journal on Scientific Computing ◽

10.1137/s1064827500374169 ◽

2002 ◽

Vol 23 (5) ◽

pp. 1731-1751 ◽

Cited By ~ 21

Author(s):

Natasha Flyer ◽

Paul N. Swarztrauber

Keyword(s):

Finite Difference ◽

Boundary Value Problems ◽

Boundary Value ◽

Finite Difference Methods ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

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A Taylor series method for the solution of the linear initial–boundary-value problems for partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2013.08.004 ◽

2013 ◽

Vol 66 (7) ◽

pp. 1329-1343 ◽

Cited By ~ 4

Author(s):

Ghiocel Groza ◽

Mohsen Razzaghi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Taylor Series ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Series Method ◽

Taylor Series Method ◽

Initial Boundary Value

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