eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences April 2010 22 1 309 316 jusps-A 1059 article S. Seddighi Chaharborj 1 M. R. Abu Bakar 1 A.H. Malik 2 M.A. Kamel Ariffin 2 Noor Akma 2 Department of Mathematics, Faculty of Science, U.P.M. Universiti Putra, Malaysia - 43400 UPM Laboratory of Theoretical Mathematics, institute for Mathematical Research, Universiti Putra, Malaysia, MALAYSIA <p style="text-align: justify;">In this paper, a new modification of the homotopy perturbation method (HPM) is presented and applied to linear ordinary differential equations and nonlinear differential equations. A comparative study between the new modified homotopy perturbation method (MHPM) and the classical homotopy perturbation method (HPM) is conducted. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHPM. The numerical results obtained from the MHPM and HPM are compared with the fourth-order Runge-Kutta method (RKM).</p> https://www.ultrascientist.org/paper/1059/ New Modification Homotopy Perturbation Method