The objective of this paper is to get an approximate solution for Lane-emden and Emden-Fowler initial and boundary value problems. For this, we used the Optimal Homotopy Asymptotic Method (OHAM) which is a semi-analytical method. OHAM Results show the eÂğectiveness and reliability of OHAM for Lane-Emden and Emden-Fowler initial and boundary value problems. The results we obtained are compared to the exact solutions, homotopy perturbation method (HPM), Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM).

1.
A.-M.
Wazwaz
,
Applied Mathematics and Computation
166
,
638
651
(
2005
).
2.
A.-M.
Wazwaz
,
Applied Mathematics and Computation
118
,
287
310
(
2001
).
3.
K.
Parand
,
M.
Shahini
, and
M.
Dehghan
,
Journal of Computational Physics
228
,
8830
8840
(
2009
).
4.
K.
Parand
,
M.
Dehghan
,
A.
Rezaei
, and
S.
Ghaderi
,
Computer Physics Communications
181
,
1096
1108
(
2010
).
5.
H. T.
Davis
,
Introduction to nonlinear differential and integral equations
(
Courier Corporation
, (
1962
).
6.
S.
Chandrasekhar
and
S.
Chandrasekhar
,
An introduction to the study of stellar structure
, Vol.
2
(
Courier Corporation
, (
1957
).
7.
G.
Adomian
,
R.
Rach
, and
N.
Shawagfeh
,
Foundations of Physics Letters
8
,
161
181
(
1995
).
8.
J.
He
,
Mech. Appl
20
,
30
31
(
1998
).
9.
A.
Biswas
,
Physics Letters A
372
,
4601
4602
(
2008
).
10.
O. W.
Richardson
,
The emission of electricity from hot bodies
(
Longmans
,
Green and Company
,
1921
).
11.
A.-M.
Wazwaz
,
Applied Mathematics and Computation
217
,
10387
10395
(
2011
).
12.
B.
Ibis
, arXiv preprint arXiv:1211.3521 (
2012
).
13.
A.-M.
Wazwaz
,
R.
Rach
, and
J.-S.
Duan
,
Applied Mathematics and Computation
219
,
5004
5019
(
2013
).
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