an analytic study on the euler-lagrange equation arising in calculus of variations

نویسنده

saadatmandi abbas ,abdolahi-niasar tahereh

منبع

computational methods for differential equations - 2014 - دوره : 2 - شماره : 3 - صفحه:140 -152

فایل تمام متن

چکیده

the euler-lagrange equation plays an important role in the minimization problems of the calculus of variations. this paper employs the di erential transformation method (dtm) for nding 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 in nite power series with easily computable components. several illustrative examples are given to demonstrate the e ectiveness of the present method.

کلیدواژه

differential transformation method ,calculus of variation ,eulerlagrange equation ,variational problems

آدرس

university of kashan, faculty of mathematical sciences, department of applied mathematics, iran, university of kashan, faculty of mathematical sciences, department of applied mathematics, iran

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