Application of Chebyshev Finite Difference Method (ChFDM)in Calculus of Variation
عنوان مقاله: Application of Chebyshev Finite Difference Method (ChFDM)in Calculus of Variation
شناسه ملی مقاله: MECHCONF02_171
منتشر شده در دومین کنفرانس بین المللی دستاوردهای نوین پژوهشی در مکانیک، صنایع و هوافضا در سال 1395
شناسه ملی مقاله: MECHCONF02_171
منتشر شده در دومین کنفرانس بین المللی دستاوردهای نوین پژوهشی در مکانیک، صنایع و هوافضا در سال 1395
مشخصات نویسندگان مقاله:
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
خلاصه مقاله:
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
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.
کلمات کلیدی: Chebyshev finite difference method (ChFDM), Calculus of variation, Chebyshev Gauss- Lobatto (ChGL) points
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/566293/