کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758789 896452 2011 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new application of the homotopy analysis method: Solving the Sturm–Liouville problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
A new application of the homotopy analysis method: Solving the Sturm–Liouville problems
چکیده انگلیسی

In this paper, the homotopy analysis method (HAM) is applied to numerically approximate the eigenvalues of the second and fourth-order Sturm–Liouville problems. These eigenvalues are calculated by starting the HAM algorithm with one initial guess. In this paper, it can be observed that the auxiliary parameter ℏ, which controls the convergence of the HAM approximate series solutions, also can be used in predicting and calculating multiple solutions. This is a basic and more important qualitative difference in analysis between HAM and other methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 1, January 2011, Pages 112–126
نویسندگان
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