أعضاء هيئة التدريس - جامعة بنها
Solving Nonlinear Stochastic Diffusion Models with Nonlinear Losses Using the Homotopy Analysis Method
Applied mathematics • 2014
معلومات البحث
المؤلفون
Aisha A. Fareed, H. H. El-Zoheiry, M. A. El-Tawil, M. A. El-Beltagy and Hany N. Hassan
الكلمات المفتاحية
HAM Technique; WHEP Technique; Stochastic PDEs; Diffusion Models
المجلة العلمية
Applied mathematics
الناشر
Not Available
المجلد
5
العدد
1
الصفحات
115-127
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
This paper deals with the construction of approximate series solutions of diffusion models with stochastic excita-
tion and nonlinear losses using the homotopy analysis method (HAM). The mean, variance and other statistical
properties of the stochastic solution are computed. The solution technique was applied successfully to the 1D and
2D diffusion models. The scheme shows importance of choice of convergence-control parameter ħ to guarantee
the convergence of the solutions of nonlinear differential Equations. The results are compared with the Wien-
er-Hermite expansion with perturbation (WHEP) technique and good agreements are obtained.
tion and nonlinear losses using the homotopy analysis method (HAM). The mean, variance and other statistical
properties of the stochastic solution are computed. The solution technique was applied successfully to the 1D and
2D diffusion models. The scheme shows importance of choice of convergence-control parameter ħ to guarantee
the convergence of the solutions of nonlinear differential Equations. The results are compared with the Wien-
er-Hermite expansion with perturbation (WHEP) technique and good agreements are obtained.