کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633927 1340682 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An improvement for Chebyshev collocation method in solving certain Sturm–Liouville problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An improvement for Chebyshev collocation method in solving certain Sturm–Liouville problems
چکیده انگلیسی

In this paper, the Chebyshev collocation method with an improved step for computing the approximate eigenvalues of regular Sturm–Liouville problems is proposed. The method is investigated for applying to the Sturm–Liouville problems with two points and (semi-)periodic boundary conditions. The new step simplifies the computation by solving a generalized matrix eigenvalue problem instead of solving a high order algebraic equation required by the original method and thus more accurate results can be achieved. The numerical results are encouraging.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 195, Issue 2, 1 February 2008, Pages 440–447
نویسندگان
, , ,