Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method
In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanie...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2007
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/ http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf |
| Summary: | In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden–
Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The
analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective
and simple. |
|---|