The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results

SIAM Journal on Numerical Analysis ◽

10.1137/130935550 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2771-2793 ◽

Author(s):

S. Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Convergence Results ◽

Functional Differential

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The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments

SIAM Journal on Numerical Analysis ◽

10.1137/140979022 ◽

2015 ◽

Vol 53 (6) ◽

pp. 2794-2821 ◽

Author(s):

S. Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Deviating Arguments ◽

Functional Differential

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An abstract framework in the numerical solution of boundary value problems for neutral functional differential equations

Numerische Mathematik ◽

10.1007/s00211-015-0754-1 ◽

2015 ◽

Vol 133 (3) ◽

pp. 525-555 ◽

Author(s):

Stefano Maset

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential ◽

Abstract Framework

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Triple positive solutions for a class of boundary value problems for second-order neutral functional differential equations

Nonlinear Analysis ◽

10.1016/j.na.2005.10.015 ◽

2006 ◽

Vol 65 (4) ◽

pp. 825-840 ◽

Author(s):

Xiao-Bao Shu ◽

Huang Li-Hong ◽

Yong-Jin Li

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Positive Solutions ◽

Boundary Value ◽

Functional Differential Equations ◽

Second Order ◽

Neutral Functional Differential Equations ◽

Triple Positive Solutions ◽

Functional Differential

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BOUNDARY VALUE PROBLEMS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

Boundary Value Problems for Functional Differential Equations ◽

10.1142/9789812812841_0021 ◽

1995 ◽

pp. 239-249 ◽

Author(s):

S. K. NTOUYAS

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations

Journal of Inequalities and Applications ◽

10.1155/2009/141959 ◽

2009 ◽

Vol 2009 (1) ◽

pp. 141959 ◽

Author(s):

Alexander Domoshnitsky ◽

Abraham Maghakyan ◽

Roman Shklyar

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Maximum Principles ◽

Neutral Functional Differential Equations ◽

First Order ◽

Functional Differential

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The numerical solution of boundary value problems for second order functional differential equations by finite differences

Numerische Mathematik ◽

10.1007/bf01407371 ◽

1972 ◽

Vol 20 (4) ◽

pp. 288-299 ◽

Author(s):

Colin W. Cryer

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Finite Differences ◽

Boundary Value ◽

Functional Differential Equations ◽

Second Order ◽

Functional Differential

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NUMERICAL SOLUTION OF BOUNDARY VALUE PROBLEMS FOR SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS BY THE USE OF CUBIC SPLINES

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.29.113 ◽

1975 ◽

Vol 29 (1) ◽

pp. 113-122 ◽

Author(s):

Manabu SAKAI

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Cubic Splines ◽

Second Order ◽

Functional Differential

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Boundary Value Problems for Differential and Functional Differential Equations.

10.21236/ada187378 ◽

1987 ◽

Author(s):

Joseph Wiener

Keyword(s):

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Functional Differential Equations ◽

Functional Differential

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Numerical Solution of Implicit Neutral Functional Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s003614299731867x ◽

1999 ◽

Vol 36 (2) ◽

pp. 516-528 ◽

Author(s):

Yunkang Liu

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Functional Differential

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Numerical solution of neutral functional differential equations by Adams methods in divided difference form

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2005.02.016 ◽

2006 ◽

Vol 189 (1-2) ◽

pp. 592-605 ◽

Author(s):

Z. Jackiewicz ◽

E. Lo

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Divided Difference ◽

Functional Differential Equations ◽

Neutral Functional Differential Equations ◽

Adams Methods ◽

Difference Form ◽

Functional Differential

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