هانى نصر حسن محمد
أستاذ مساعد
Modified Homotopy Analysis Method for Second order nonlinear initial value problems
International Journal of Applied Mathematics and Mechanics • 2011
معلومات البحث
المؤلفون
Hany N. Hassan; Magdy A. El-Tawil
الكلمات المفتاحية
Second order nonlinear initial value problems, Homotopy analysis method,
Modified homotopy analysis method, Boussinesq type equations
المجلة العلمية
International Journal of Applied Mathematics and Mechanics
الناشر
Not Available
المجلد
7
العدد
18
الصفحات
82-108
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
In this paper, a new modification of the homotopy analysis method is proposed for solving a
special kind of nonlinear differential equations. This modification improves the convergence
of the series solution, eliminates the unneeded terms and reduces time consuming in the
homotopy analysis method (HAM). Boussinesq type equations are used as test problems to
show the simplicity and effectiveness of the method.
special kind of nonlinear differential equations. This modification improves the convergence
of the series solution, eliminates the unneeded terms and reduces time consuming in the
homotopy analysis method (HAM). Boussinesq type equations are used as test problems to
show the simplicity and effectiveness of the method.
