an analytic study on the euler-lagrange equation arising in calculus of variations
نویسندگان
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.
منابع مشابه
An analytic study on the Euler-Lagrange equation arising in calculus of variations
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. S...
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عنوان ژورنال:
computational methods for differential equationsجلد ۲، شماره ۳، صفحات ۱۴۰-۱۵۲
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