Volume 18, Issue 1 (International Journal of Engineering 2007)                   IJIEPR 2007, 18(1): 19-26 | Back to browse issues page

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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-en.html
The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
K. Maleknejad 1, M. Rabbani
1- , maleknejad@iust.ac.ir
Abstract:   (20881 Views)

 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.

 

Keywords: Integro-Differential; Petrov-Galerkin; Multiwavelet; Test Space; Trial Space;
     
Type of Study: Research | Subject: Material Managment
Received: 2009/04/20 | Published: 2007/01/15
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