نشریه بین المللی مهندسی صنایع و تحقیقات تولید
دانشگاه علم و صنعت ایران
سه شنبه 13 آذر 1403
[Archive]
جلد 18، شماره 1 - ( 10-1385 )
جلد 18 شماره 1 صفحات 26-19 |
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Maleknejad K, Rabbani M. The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations . IJIEPR 2007; 18 (1) :19-26
URL: http://ijiepr.iust.ac.ir/article-1-36-fa.html
URL: http://ijiepr.iust.ac.ir/article-1-36-fa.html
The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations . نشریه بین المللی مهندسی صنایع و تحقیقات تولید. 1385; 18 (1) :19-26
چکیده: (20883 مشاهده)
Abstract: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used. By using the orthonormality property of basis elements in discretizing the equation, we can reduce an equation to a linear system with small dimension. For numerical examples, the solutions may be produced with good accuracy, by choosing suitable trial and test spaces in Petrov-Galerkin method.
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