کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1706744 1012475 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Laplace transform and polynomial Trefftz method for a class of time dependent PDEs
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
The Laplace transform and polynomial Trefftz method for a class of time dependent PDEs
چکیده انگلیسی

In this paper, we present a new method for solving 1D time dependent partial differential equations based on the Laplace transform (LT). As a result, the problem is converted into a stationary boundary value problem (BVP) which depends on the parameter of LT. The resulting BVP is solved by the polynomial Trefftz method (PTM), which can be regarded as a meshless method. In PTM, the source term is approximated by a truncated series of Chebyshev polynomials and the particular solution is obtained from a recursive procedure. Talbot’s method is employed for the numerical inversion of LT. The method is tested with the help of some numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 33, Issue 5, May 2009, Pages 2226–2233
نویسندگان
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