أعضاء هيئة التدريس - جامعة بنها
A new technique of using homotopy analysis method for solving high-order nonlinear differential equations
Mathematical Methods in the Applied Sciences • 2011
معلومات البحث
المؤلفون
Hany N. Hassan and Magdy A. El-Tawil
الكلمات المفتاحية
nonlinear initial value problems; homotopy analysis method; modified HAM; system of differential equations
المجلة العلمية
Mathematical Methods in the Applied Sciences
الناشر
ohn Wiley & Sons, Ltd.
المجلد
34
العدد
Not Available
الصفحات
728–742
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
n this paper, a new technique of homotopy analysis method (HAM) is proposed for solving high-order nonlinear
initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms
and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear
differential equation to a system of n first-order equations. Second- and third- order problems are solved as illustration
examples of the proposed method.
initial value problems. This method improves the convergence of the series solution, eliminates the unneeded terms
and reduces time consuming in the standard homotopy analysis method (HAM) by transform the nth-order nonlinear
differential equation to a system of n first-order equations. Second- and third- order problems are solved as illustration
examples of the proposed method.