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

Download Full-text

The solution of initial-boundary value problems with non-local boundary conditions using exponential basis functions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.09.100 ◽

2016 ◽

Vol 40 (4) ◽

pp. 2593-2605 ◽

Author(s):

B. Movahedian ◽

B. Boroomand

Keyword(s):

Boundary Conditions ◽

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Basis Functions ◽

Initial Boundary Value Problems ◽

Local Boundary ◽

Exponential Basis ◽

Non Local ◽

Initial Boundary Value

Download Full-text

A fast numerical method for mildly nonlinear parabolic initial boundary value problems II: The parallel implementation on the Intel Touchstone Delta system

Parallel Computing ◽

10.1016/s0167-8191(96)00044-0 ◽

1996 ◽

Vol 22 (9) ◽

pp. 1281-1285

Author(s):

Maria Antonietta Pirozzi

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Parallel Implementation ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Delta System ◽

Initial Boundary Value

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.792925 ◽

2013 ◽

Vol 91 (3) ◽

pp. 553-577 ◽

Author(s):

S. Gowrisankar ◽

Srinivasan Natesan

Keyword(s):

Boundary Value Problems ◽

Numerical Method ◽

Boundary Value ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Uniformly Convergent ◽

Initial Boundary Value

Download Full-text

Solving nonlocal initial-boundary value problems for linear and nonlinear parabolic and hyperbolic partial differential equations by the Adomian decomposition method

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.09.011 ◽

2013 ◽

Vol 225 ◽

pp. 50-61 ◽

Author(s):

Lazhar Bougoffa ◽

Randolph C. Rach

Keyword(s):

Partial Differential Equations ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Initial Boundary ◽

Hyperbolic Partial Differential Equations ◽

Initial Boundary Value Problems ◽

Nonlinear Parabolic ◽

Adomian Decomposition ◽

Linear And Nonlinear ◽

Initial Boundary Value

Download Full-text

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

Download Full-text

Difference Methods for Initial-Boundary-Value Problems and Flow Around Bodies

10.1007/978-3-662-06707-9 ◽

1988 ◽

Author(s):

Zhu You-lan ◽

Chen Bing-mu ◽

Zhong Xi-chang ◽

Zhang Zuo-min

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Difference Methods ◽

Initial Boundary Value

Download Full-text