Title : ( Approximate solutions for a class of first order nonlinear difference equations )
Authors: اکبر هاشمی برزآبادی , Mortaza Gachpazan ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, a measure-theoretical approach to find the approximate solutions for a class of first order nonlinear difference equations is introduced. In this method the problem is transformed to an equivalent optimization problem. Then, by considering it as a calculus of variations problem, some concepts in measure theory are used to approximate the solution. The procedure of constructing approximate solution in form of an algorithm is shown. Finally a numerical example is given.
Keywords
Difference equation; Calculus of variations; Measure theory; Linear programming
@article{paperid:1010274,
author = {اکبر هاشمی برزآبادی and Gachpazan, Mortaza},
title = {Approximate solutions for a class of first order nonlinear difference equations},
journal = {Applied Mathematics and Computation},
year = {2007},
volume = {190},
number = {2},
month = {June},
issn = {0096-3003},
pages = {1108--1115},
numpages = {7},
keywords = {Difference equation; Calculus of variations; Measure theory; Linear programming},
}
%0 Journal Article
%T Approximate solutions for a class of first order nonlinear difference equations
%A اکبر هاشمی برزآبادی
%A Gachpazan, Mortaza
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2007
