تعداد نشریات | 44 |
تعداد شمارهها | 1,303 |
تعداد مقالات | 16,020 |
تعداد مشاهده مقاله | 52,489,235 |
تعداد دریافت فایل اصل مقاله | 15,216,892 |
An analytic study on the Euler-Lagrange equation arising in calculus of variations | ||
Computational Methods for Differential Equations | ||
مقاله 2، دوره 2، شماره 3، مهر 2014، صفحه 140-152 اصل مقاله (333.95 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Abbas Saadatmandi* ؛ Tahereh Abdolahi-Niasar | ||
University of Kashan, Kashan, Iran | ||
چکیده | ||
The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. | ||
کلیدواژهها | ||
Differential transformation method؛ Calculus of variation؛ Euler-Lagrange equation؛ Variational problems | ||
آمار تعداد مشاهده مقاله: 2,559 تعداد دریافت فایل اصل مقاله: 1,959 |