Solving Differential Equations Using Modified VIM

الموضوعات : مجله بین المللی ریاضیات صنعتی

F. Goharee ¹ (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran)
E. Babolian ² (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran,Iran)

تاريخ الإرسال : 11 الخميس , محرم, 1435 تاريخ التأكيد : 11 الخميس , محرم, 1435 تاريخ الإصدار : 01 الثلاثاء , جمادى الثانية, 1435

الکلمات المفتاحية: Variational iteration method, Du&#x0E, ng equation, Riccati Equation, Taylor expansion, Chebyshev expansion,

ملخص المقالة :

In this paper a modification of He's variational iteration method (VIM) has been employed to solve Dung and Riccati equations. Sometimes, it is not easy or even impossible, to obtain the first few iterations of VIM, therefore, we suggest to approximate the integrand by using suitable expansions such as Taylor or Chebyshev expansions.