کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629338 1340579 2012 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spectral parameter power series for fourth-order Sturm–Liouville problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Spectral parameter power series for fourth-order Sturm–Liouville problems
چکیده انگلیسی

A general solution of the fourth-order Sturm–Liouville equation is presented in the form of a spectral parameter power series (SPPS). The uniform convergence of the series is proved and the coefficients of the series are calculated explicitly through a recursive intergration procedure. Based on the SPPS representation characteristic equations for spectral problems arising in mechanics and elasticity theory are obtained and it is shown that the spectral problems reduce to computation of zeros of corresponding analytic functions of the spectral parameter given by their Taylor series expansions. This leads to a simple and efficient numerical method for solving the spectral problems for fourth-order Sturm–Liouville equations. Several examples of application are discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 8, 15 December 2012, Pages 3610–3624
نویسندگان
, , ,