کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1140518 956729 2009 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n + 1)th-order linear differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Efficient spectral ultraspherical-dual-Petrov–Galerkin algorithms for the direct solution of (2n + 1)th-order linear differential equations
چکیده انگلیسی

Some efficient and accurate algorithms based on ultraspherical-dual-Petrov–Galerkin method are developed and implemented for solving (2n + 1)th-order linear elliptic differential equations in one variable subject to homogeneous and nonhomogeneous boundary conditions using a spectral discretization. The key idea to the efficiency of our algorithms is to use trial functions satisfying the underlying boundary conditions of the differential equations and the test functions satisfying the dual boundary conditions. The method leads to linear systems with specially structured matrices that can be efficiently inverted. Numerical results are presented to demonstrate the efficiency of our proposed algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 79, Issue 11, July 2009, Pages 3221–3242
نویسندگان
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