TY - JOUR ID - 10758 TI - VIM-Pad´e technique for solving nonlinear and delay initial value problems JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Torabi Giklou, Asadollah AU - Ranjbar, Mojtaba AU - Shafiee, Mahmoud AU - Roomi, Vahid AD - Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran. AD - Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. AD - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran. Y1 - 2021 PY - 2021 VL - 9 IS - 3 SP - 749 EP - 761 KW - Nonlinear initial value problem KW - Delay differential equation KW - variational iteration method KW - Padé technique KW - VIM-Pade technique DO - 10.22034/cmde.2020.35417.1606 N2 - In this work, we employ a combination of variational iteration method (VIM) and Pad´e approximation method, called the VIM-Pad´e technique, to solve some nonlinear initial value problems and a delay differential equation (DDE). Some examples are provided to illustrate the capability and reliability of the technique. The obtained results by using the VIM are compared to the results of this technique. This comparison shows that VIM-Pad´e technique is more effective than VIM and yields faster convergence compared to the VIM. UR - https://cmde.tabrizu.ac.ir/article_10758.html L1 - https://cmde.tabrizu.ac.ir/article_10758_ea230fd1473563b6d52910c673ee8809.pdf ER -