A modified algorithm for the homotopy perturbation method with applications to Lotka-Volterra systems

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hassan, Talib Hashim, Ismail, Ahmad Faris
• Format: Conference or Workshop Item
• Language: English
• Published: 2010
• Subjects: QA76 Computer software
• Online Access: http://irep.iium.edu.my/2245/1/A_Modified_Algorithm_for_the_Homotopy_Perturbation_Method_with_Applications_to_Lotka-Volterra_Systems.pdf; http://irep.iium.edu.my/2245/; http://research.utar.edu.my/CMS/ICMSA2010/ICMSA2010_Proceedings/files/applied_maths/AM-Chowdhury.pdf
• Institution: Universiti Islam Antarabangsa Malaysia

In this paper, the homotopy-perturbation method (HPM) is modified in order to obtain the approximate solutions of the nonlinear differential equation response in a sequence of time intervals. The modified method provides a solution close to the exact one within a certain error. The accuracy of this method is examined by comparison with the Adomian decomposition method (ADM). The results prove that the modified HPM is a powerful tool for the solution of nonlinear equations.