Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(87)90219-8 ◽

1987 ◽

Vol 128 (1) ◽

pp. 112-124 ◽

Author(s):

N. Bellomo ◽

L. de Socio

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Decomposition Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adomian’S Decomposition Method ◽

Boltzmann Equation Analysis ◽

Equation Analysis ◽

Initial Boundary Value

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Stochastic Formulation for the Initial-Boundary Value Problems of the Boltzmann Equation

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0139-z ◽

2008 ◽

Vol 192 (2) ◽

pp. 217-274 ◽

Author(s):

Shih-Hsien Yu

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Stochastic Formulation ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-boundary value problems of the Boltzmann equation at zero temperature

Transport Theory and Statistical Physics ◽

10.1080/00411459708224423 ◽

1997 ◽

Vol 26 (7) ◽

pp. 813-825 ◽

Author(s):

Ch. Dalitz

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Zero Temperature ◽

The Boltzmann Equation ◽

Initial Boundary Value

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The decomposition method For solving higher dimensional Initial boundary value problems of variable coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160008805017 ◽

2000 ◽

Vol 76 (2) ◽

pp. 159-172 ◽

Author(s):

Abdul-Majid Wazwaz

Keyword(s):

Boundary Value Problems ◽

Decomposition Method ◽

Boundary Value ◽

Initial Boundary ◽

Variable Coefficients ◽

Initial Boundary Value Problems ◽

Higher Dimensional ◽

Initial Boundary Value

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A numerical method based on the Adomian decomposition method for identifying an unknown source in non-local initial-boundary value problems

International Journal of Mathematical Modelling and Numerical Optimisation ◽

10.1504/ijmmno.2015.071869 ◽

2015 ◽

Vol 6 (3) ◽

pp. 185 ◽

Author(s):

Reza Pourgholi ◽

Akram Saeedi

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Decomposition Method ◽

Boundary Value ◽

Adomian Decomposition Method ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Adomian Decomposition ◽

Non Local ◽

Initial Boundary Value

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Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf01837113 ◽

1992 ◽

Vol 119 (4) ◽

pp. 309-353 ◽

Author(s):

K. Hamdache

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Existence Of Weak Solutions ◽

The Boltzmann Equation ◽

Initial Boundary Value

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A non-overlapping domain decomposition method for parabolic initial-boundary value problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(98)00053-1 ◽

1998 ◽

Vol 28 (2-4) ◽

pp. 359-369 ◽

Author(s):

G. Lube ◽

F.C. Otto ◽

H. Müller

Keyword(s):

Domain Decomposition ◽

Boundary Value Problems ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Overlapping Domain Decomposition ◽

Initial Boundary Value

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Initial-boundary value problems for the boltzmann equation

Transport Theory and Statistical Physics ◽

10.1080/00411459608220711 ◽

1996 ◽

Vol 25 (3-5) ◽

pp. 425-436

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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An adaptation of the modified decomposition method in solving nonlinear initial-boundary value problems for ODEs

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01642-6 ◽

2021 ◽

Author(s):

Lazhar Bougoffa ◽

Randolph C. Rach

Keyword(s):

Boundary Value Problems ◽

Decomposition Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Initial Boundary Value

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Fast Numerical Method for 2D Initial-Boundary Value Problems for the Boltzmann Equation

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/978-3-642-55195-6_47 ◽

2014 ◽

pp. 499-509

Author(s):

Alexei Heintz ◽

Piotr Kowalczyk

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Initial-boundary value problems for the Boltzmann equation

Series on Advances in Mathematics for Applied Sciences - Nonlinear Evolution Equations ◽

10.1142/9789812796509_0007 ◽

1993 ◽

pp. 131-175

Keyword(s):

Boltzmann Equation ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

The Boltzmann Equation ◽

Initial Boundary Value

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