existence of solution and solving the integro-differential equations system by the multi-wavelet petrov-galerkin method
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abstract
in this paper, we discuss about existence of solution forintegro-differential system and then we solve it by using the petrov-galerkin method. in the petrov-galerkin method choosing the trial and test space is important, so we use alpert multi-wavelet as basisfunctions for these spaces. orthonormality is one of theproperties of alpert multi-wavelet which helps us to reducecomputations in the process of discretizing and we drive a systemof algebraic equations with small dimension which it leads toapproximate solution with high accuracy. we compare the resultswith similar works and it guarantees the validity andapplicability of this method.
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Journal title:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 7
issue 1 2015
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