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computing the eigenvalues of fourth order sturmliouville problems with lie group method
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نویسنده
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mirzaei h.
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منبع
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iranian journal of numerical analysis and optimization - 2017 - دوره : 7 - شماره : 1 - صفحه:1 -12
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چکیده
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in this paper, we formulate the fourth order sturmliouville problem (fslp) as a lie group matrix differential equation. by solving this ma trix diferential equation by lie group magnus expansion, we compute the eigenvalues of the fslp. the magnus expansion is an infinite series of multiple integrals of lie brackets. the approximation is, in fact, the truncation of magnus expansion and a gaussian quadrature are used to evaluate the integrals. finally, some numerical examples are given.
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کلیدواژه
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lie group method ,fourth order sturmliouville problem ,mag nus expansion.
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آدرس
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sahand university of technology, faculty of basic sciences, ایران
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پست الکترونیکی
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h_mirzaei@sut.ac.ir
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محاسبه ی مقادیر ویژه ی مسائل اشتورملیوویل مرتبه ی چهار به روش گروه لی
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Authors
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