چکیده مقاله
An effective numerical method based upon Legendre polynomials is proposed for the solution of a class ofvariational problems with boundary conditions The Ritz spectral method is used for finding the approximatesolution of the problem By utilizing the Ritz method, the given nonlinear variational problem reduces tothe problem of solving a system of algebraic equations The advantage of the Ritz method is that itprovides greater flexibility in which the boundary conditions are imposed at the end points of the interval Furthermore, compared with the exact solution of the problem, the satisfactory results obtained with lowterms of basis An illustrative example is included to demonstrate the validity and applicability of theproposed technique
نویسندگان
Kamal Mamehrashi
Department of Mathematics, Payame Noor University, P O BOX ۱۹۳۹۵ ۳۶۹۷, Tehran, Iran
Fahimeh Soltanian
Department of Mathematics, Payame Noor University, P O BOX ۱۹۳۹۵ ۳۶۹۷, Tehran, Iran
شیوه ارجاع
Mamehrashi, Kamal and Soltanian, Fahimeh,1395,A NUMERICAL TECHNIQUE FOR SOLVING A CLASS OF VARIATIONALPROBLEMS WITH SUITABLE BOUNDARY CONDITIONS,8th National Conference on Mathematics, Payame Noor University
ارائهشده در
مجموعه مقالات هشتمین همایش ملی ریاضی دانشگاه پیام نور22 اردیبهشت 1395