TY  - EJOU
AU  - Wazwaz, Abdul-Majid  
AU  - Rach, R,olph  
AU  - Bougoffa, Lazhar  
AU  - Duan, Jun-Sheng 

TI  - Solving the Lane–Emden–Fowler Type Equations of Higher Orders by the Adomian Decomposition Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 100
IS  - 6
SN  - 1526-1506

AB  - In this paper, we construct the Lane–Emden–Fowler type equations of higher orders. We study the linear and the nonlinear Lane–Emden–Fowler type equations of the third and fourth orders, where other forms can be treated in a similar manner. We use the systematic Adomian decomposition method to handle these types of equations with specified initial conditions. We confirm that the Adomian decomposition method provides an efficient algorithm for exact and approximate analytic solutions of these equations. We corroborate this study by investigating several numerical examples that emphasize initial value problems.
KW  - Initial value problems
KW  -  Singularities
KW  -  Lane–Emden–Fowler equation
KW  -  Adomian decomposition method
KW  -  Adomian polynomials

DO  - 10.3970/cmes.2014.100.507