کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470404 698472 2014 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order
چکیده انگلیسی

In this paper, an approximate approach based on Bernoulli operational matrices has been presented to obtain the numerical solution of first-order matrix hyperbolic partial differential equations under the given initial conditions. After using the operational matrices, we use the completeness of Bernoulli basis in which the main problem reduces to a system of algebraic equations. The solutions of this algebraic system are the coefficients of the truncated double Bernoulli series which are defined in the interval [0, 1]. Also, convergence analysis associated to the presented idea is provided under several mild conditions. Several numerical examples are considered to show the efficiency of the technique.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 68, Issues 1–2, July 2014, Pages 1–12
نویسندگان
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