Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hashim, Ishak
• Format: Article
• Language: English
• Published: Elsevier 2007
• Subjects: QA76 Computer software
• Online Access: http://irep.iium.edu.my/6659/1/Solutions_of_time-dependent_Emden%E2%80%93Fowler_type_equations_by_homotopy-perturbation_method.pdf; http://irep.iium.edu.my/6659/; http://www.journals.elsevier.com/physics-letters-a/
• Institution: Universiti Islam Antarabangsa Malaysia

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.