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
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order Convergence analysis of Bernoulli matrix approach for one-dimensional matrix hyperbolic equations of the first order](/preview/png/470404.png)
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
Journal: Computers & Mathematics with Applications - Volume 68, Issues 1–2, July 2014, Pages 1–12
نویسندگان
Emran Tohidi, Faezeh Toutounian,