The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations
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Abstract:
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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Journal title
volume 18 issue 1
pages 19- 26
publication date 2007-01
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