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 ◽

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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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 ◽

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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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 ◽

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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Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations

Nonlinearity ◽

10.1088/0951-7715/21/10/t03 ◽

2008 ◽

Vol 21 (10) ◽

pp. T195-T203 ◽

Author(s):

J L Bona ◽

A S Fokas

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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Representation of Solutions of Initial-Boundary Value Problems for Nonlinear Partial Differential Equations by the Method of Special Series

Differential Equations ◽

10.1023/b:dieq.0000011290.09965.9a ◽

2003 ◽

Vol 39 (8) ◽

pp. 1159-1166 ◽

Author(s):

M. Yu. Filimonov

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Nonlinear Partial Differential Equations ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Special Series ◽

Representation Of Solutions ◽

Initial Boundary Value

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Initial-boundary value problems for linear hyperbolic partial differential equations of the second order

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00281202 ◽

1962 ◽

Vol 10 (1) ◽

pp. 361-400 ◽

Author(s):

Calvin H. Wilcox

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Hyperbolic Partial Differential Equations ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Initial Boundary Value

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Initial boundary value problems for hyperbolic partial differential equations

Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics - Lecture Notes in Physics ◽

10.1007/bfb0019724 ◽

2005 ◽

pp. 22-33 ◽

Author(s):

Heinz Otto Kreiss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Hyperbolic Partial Differential Equations ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Initial Boundary Value

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Initial-boundary value problems for second order systems of partial differential equations

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2011060 ◽

2012 ◽

Vol 46 (3) ◽

pp. 559-593 ◽

Author(s):

Heinz-Otto Kreiss ◽

Omar E. Ortiz ◽

N. Anders Petersson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Second Order ◽

Initial Boundary Value Problems ◽

Partial Differential ◽

Second Order Systems ◽

Initial Boundary Value

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Initial boundary value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics ◽

10.1007/bf02463718 ◽

1994 ◽

Vol 15 (4) ◽

pp. 389-404

Author(s):

Cui Shang-bin ◽

Qu Chang-zheng

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

The Numerical Treatment of Differential Equations ◽

10.1007/978-3-662-24934-5_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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