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The application of homotopy analysis method in solving stochastic nonlinear partial differential equations / Aisha Fathy Abdelqader Fareed ; Supervised Magdy El-Tawil , Hanafi El-Zoheiry , Labib Iskander

By: Contributor(s): Material type: TextTextLanguage: English Publication details: Cairo : Aisha Fathy Abdelqader Fareed , 2014Description: 149 P. : charts ; 30cmOther title:
  • تطبيق طريقة التحليل الهوموتوبي في حل المعادلات التفاضلية الجزئية العشوائية الغير خطية [Added title page title]
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Dissertation note: Thesis (Ph.D.) - Cairo University - Faculty of Engineering - Department of Mathematics and Physics Summary: The homotopy analysis method (HAM) is one of the important analytical methods, which introduces a series solution for nonlinear problems. HAM contains the auxiliary parameter {u0127} which gives a way to adjust and control the convergence region of the series solution. In this work, a new technique for using (HAM) together with Wiener- Hermite expansion (HAM-WHE) is proposed as an efficient method for solving stochastic nonlinear differential equations. Piecewise homotopy analysis method is also introduced to increase the convergence region. Burger{u2019}s equation and diffusion equation are solved using HAM
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Item type Current library Home library Call number Copy number Status Date due Barcode
Thesis Thesis قاعة الرسائل الجامعية - الدور الاول المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.13.10.Ph.D.2014.Ai.A (Browse shelf(Opens below)) Not for loan 01010110065905000
CD - Rom CD - Rom مخـــزن الرســائل الجـــامعية - البدروم المكتبة المركزبة الجديدة - جامعة القاهرة Cai01.13.10.Ph.D.2014.Ai.A (Browse shelf(Opens below)) 65905.CD Not for loan 01020110065905000

Thesis (Ph.D.) - Cairo University - Faculty of Engineering - Department of Mathematics and Physics

The homotopy analysis method (HAM) is one of the important analytical methods, which introduces a series solution for nonlinear problems. HAM contains the auxiliary parameter {u0127} which gives a way to adjust and control the convergence region of the series solution. In this work, a new technique for using (HAM) together with Wiener- Hermite expansion (HAM-WHE) is proposed as an efficient method for solving stochastic nonlinear differential equations. Piecewise homotopy analysis method is also introduced to increase the convergence region. Burger{u2019}s equation and diffusion equation are solved using HAM

Issued also as CD

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