کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628853 1340567 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence analysis of an Arnoldi order reduced Runge–Kutta method for integro–differential equations of pantograph type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Convergence analysis of an Arnoldi order reduced Runge–Kutta method for integro–differential equations of pantograph type
چکیده انگلیسی

In this paper, we consider a numerical method for linear functional integro-differential equations with pantograph delays. To deal with the pantograph delays, we introduce a geometrically increasing mesh, and propose a new kind of Runge–Kutta methods based on the Arnoldi order-reduced technique. The convergence analysis of the new method is presented, and the method is proved to be at least first order. The numerical experiments attached show that, the new method can achieve almost the same accuracy as the corresponding Runge–Kutta method for some properly chosen Krylov subspaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 219, Issue 24, 15 August 2013, Pages 11460–11470
نویسندگان
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