Application of Chebyshev Finite Difference Method (ChFDM)in Calculus of Variation

سال انتشار: 1395
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 672

فایل این مقاله در 9 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

MECHCONF02_171

تاریخ نمایه سازی: 6 اسفند 1395

چکیده مقاله:

The Chebyshev finite difference method (ChFDM) is presented for solving the ordinary differential equations which arise in problems of calculus of variations. This method is regarded as a nonuniform finite difference method for mathematics and fluid mechanics problems. The method has been implemented in three different mathematical problems to show the capability of this method in different areas. The performance and accuracy of the proposed method have been compared with the exact solution of each example. Obviously, we have observed that as number of components in series increase, the accuracy will increase and thought error decrease, successively.

کلیدواژه ها:

Chebyshev finite difference method (ChFDM) ، Calculus of variation ، Chebyshev Gauss- Lobatto (ChGL) points

نویسندگان

Hadi Rostamzadeh

Department of Aerospace Engineering, Sharif University of Technology

Mohammad Lotfi

Department of Electrical Engineering, Sharif University of Technology

Keivan Mostoufi

Department of Aerospace Engineering, Sharif University of Technology

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • Dehghan, M. (2007). Time-splitting procedures for the solution of the ...
  • .289-ه27 [9] Heinrichs, W. (1999). Spectral approximation of third-order problems. ...
  • Elbarbary, E.M.E, , El-Kady, M. (2003). Chebyshev finite difference approximation ...
  • Elbarbary, E.M.E. (2000). Chebyshev finite difference method for the solution ...
  • Dehghan, M. (2000). On the solution of am initial-boundary value ...
  • Dehghan, M. (2005). Parameter determination in a partial differential equation ...
  • Dehghan, M. (2006). Finite difference procedures for solving a problem ...
  • Dehghan, M. (2006). Implicit collocation technique for heat equation with ...
  • Dehghan, M. (20 07). The one-dimens ional heat equation subject ...
  • Ma, H., Sun, W. (2000). A Legendre-P etrov-Galerkin method and ...
  • Shen, J. (2003). A new dual-P etrov-Galerkin method for third ...
  • Chen, C.F., Hsiao, C.H. (1979). A walsh series direct method ...
  • Tatari, M. and Dehghan, M., "Solution of Problems in Calculus ...
  • Dehghan, M., and Tatari, M. "The Use of Adomian Decomposition ...
  • نمایش کامل مراجع