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Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials - MaRDI portal

Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials (Q1776303)

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scientific article; zbMATH DE number 2170255
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Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials
scientific article; zbMATH DE number 2170255

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    Approximate solution of singular integro-differential equations by reduction over Faber-Laurent polynomials (English)
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    23 May 2005
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    The paper aims to present an approximate method for the solution of some singular integro-differential equations. The idea is to express the solutions to the equation as a sum of Faber-Laurent polynomials and to use a truncated sum as an approximation. The paper provides both a theoretical justification of the approach and a numerical technique for the method of reduction over the Faber-Laurent polynomials.
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    singular integro-differential equations
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    approximate solutions
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    Faber-Laurent polynomials
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