کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1703355 1012374 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical method for solving arbitrary linear differential equations using a set of orthogonal basis functions and operational matrix
ترجمه فارسی عنوان
روش عددی برای حل معادلات دیفرانسیل خطی دلخواه با استفاده از مجموعه ای از توابع پایه متعامد و ماتریس عملیاتی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی

This article presents a numerical method for solving ordinary linear differential equations of arbitrary order and coefficients. For this purpose, block-pulse functions (BPFs) as a set of piecewise constant orthogonal functions are used. By the BPFs vector forms and operational matrix of integration, solving the differential equation is reduced to solve a linear system of algebraic equations. Some problems are numerically solved by the proposed method to illustrate its generality and computational efficiency for solving an arbitrary linear differential equation. For further evaluation, mean-absolute errors and running times associated with the method are given to show that the method is convergent and runs in a reasonable time.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 40, Issue 1, 1 January 2016, Pages 233–253
نویسندگان
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