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Keywords
(8)
adomian decomposition method
Analytic Solution
Decomposition Method
Incompressible Flow
Incompressible Fluid
Linear Equations
Numerical Solution
Roach
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Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method
Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method,10.1016/S00963003(03)006672,Applied M
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Numerical solution of a viscous incompressible flow problem through an orifice by Adomian decomposition method
(
Citations: 6
)
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Hasan Bulut
,
Mahmut Ergüt
,
Vedat Asil
,
Roza Horvath Bokor
A steady flow problem of a viscous
incompressible fluid
through an orifice is widely applicable to many physical phenomena and has been studied previously by many researchers. A problem of such type has been solved by applying LAD method given by Roache [Comp. Fluids 3 (1975) 179]. The resulting system of
linear equations
is solved by
Adomian decomposition method
[Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston, MA, 1994]. We study an
analytic solution
of a steady flow problem of a viscous
incompressible fluid
through an orifice by using the Adomian's decomposition method. The numerical results show the effectiveness of the method for this type of equations, they show that the present approach is relatively easy and highly accurate.
Journal:
Applied Mathematics and Computation  AMC
, vol. 153, no. 3, pp. 733741, 2004
DOI:
10.1016/S00963003(03)006672
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Citation Context
(2)
...Bulut et al. [
19
] studied an analytic solution of steady flow problem of a viscous incompressible fluid through an orifice by using the Adomian’ sd ecomposition method...
...PV curve of reference[
19
] point (1) point (2)...
FuCheng Yang
,
et al.
The effect of orifice lead cutting edge distance and fluid viscosity o...
...Using the Adomian decomposition method we are able to solve a wide class of nonlinear operator equations
3–7
in the form where
F
:
H
→
G
is a nonlinear operator,
f
is a known element from Hilbert space
G
and
u
is the element sought from Hilbert space
H
...
Radoslaw Grzymkowski
,
et al.
Stefan problem solved by Adomian decomposition method
References
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(
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(
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(
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)
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,
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Journal:
Communications on Pure and Applied Mathematics  COMMUN PURE APPL MATH
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Sort by:
Citations
(6)
Analytical Solution of Viscous Flow in Porous Media Using ADM and Comparison with the Numerical Runge–Kutta Method
(
Citations: 1
)
Z. Z. Ganji
,
D. D. Ganji
Journal:
Transport in Porous Media  TRANS POROUS MEDIA
, vol. 81, no. 3, pp. 527546, 2010
Analytic solution of natural convection flow of a nonNewtonian fluid between two vertical flat plates by using decomposition method
D. D. Ganji
,
F. Eskandarinia
,
Z. Z. Ganji
,
Hossain D. Ganji
Journal:
Numerical Methods for Partial Differential Equations  NUMER METHOD PARTIAL DIFFER E
, 2010
The effect of orifice lead cutting edge distance and fluid viscosity on jet performance in highvelocity waterjet cutting systems
(
Citations: 1
)
FuCheng Yang
,
SheauWen Shiah
,
TzengYuan Heh
Journal:
International Journal of Advanced Manufacturing Technology  INT J ADV MANUF TECHNOL
, vol. 40, no. 3, pp. 332341, 2009
Approximated Solutions to Towdimensional and Axisymetric Jet Impinging Flows, Using Adomian Decomposition Method
M. NAJAFI
,
M. TAEIBIRAHNI
,
K. H. JAVADI
,
S. F. HOSSEINZADEH
Published in 2006.
Fast methods for solving nonlinearly coupled equations describing fiber amplifiers
Xueming Liu
Journal:
Applied Mathematics and Computation  AMC
, vol. 172, no. 2, pp. 10181035, 2006