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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Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations

Abstract and Applied Analysis ◽

10.1155/2013/487186 ◽

2013 ◽

Vol 2013 ◽

pp. 1-1

Author(s):

Jifeng Chu ◽

Juntao Sun ◽

Patricia J. Y. Wong ◽

Yonghui Xia

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations 2014

Abstract and Applied Analysis ◽

10.1155/2015/287490 ◽

2015 ◽

Vol 2015 ◽

pp. 1-1

Author(s):

Jifeng Chu ◽

Yongli Song ◽

Juntao Sun ◽

Patricia J. Y. Wong ◽

Yonghui Xia

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

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 ◽

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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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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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 ◽

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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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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Higher-Order Approximations of the Averaging Method for Parabolic Initial-Boundary Value Problems with Rapidly Oscillating Coefficients

Differential Equations ◽

10.1023/b:dieq.0000017919.43170.97 ◽

2003 ◽

Vol 39 (10) ◽

pp. 1471-1479

Author(s):

V. B. Levenshtam

Keyword(s):

Boundary Value Problems ◽

Averaging Method ◽

Boundary Value ◽

Initial Boundary ◽

Higher Order ◽

Initial Boundary Value Problems ◽

Oscillating Coefficients ◽

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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