هانى نصر حسن محمد
أستاذ مساعد
Analytic approximate solution for the Bratu's problem by optimal homotopy analysis method
Communications in Numerical Analysis • 2013
معلومات البحث
المؤلفون
Hany N. Hassan; Mourad S. Semary
الكلمات المفتاحية
Optimal homotopy analysis method , Bratu's problem, Series solutions, Two boundary value problem,
Multiple solutions.
المجلة العلمية
Communications in Numerical Analysis
الناشر
Not Available
المجلد
2013
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
In This paper, we present analytic approximate solutions for Bratu's problem with high accuracy for
different values of λ. We solve this nonlinear problem without any approximations or transformation in the
problem and we successfully obtain the two branches of solutions for different values λ using homotopy
analysis method. A new efficient approach is proposed to obtain the optimal value of convergence
controller parameter ℏ to guarantee the convergence of the obtained series solution.
different values of λ. We solve this nonlinear problem without any approximations or transformation in the
problem and we successfully obtain the two branches of solutions for different values λ using homotopy
analysis method. A new efficient approach is proposed to obtain the optimal value of convergence
controller parameter ℏ to guarantee the convergence of the obtained series solution.