Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.
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Solution of a singular integral equation by a split-interval method
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β¦ Synopsis
Paper. β International Journal of Numerical Analysis and Modeling, V. 4. β N. 1. β 2007. β P 63-73.
In this paper we give details of a new numerical method for the solution of a singular integral equation of Volterra type that has an inΒ―nite class of solutions. The split-interval method we have adopted utilises a simple robust numerical method over an initial time interval (which includes the singularity) combined with extrapolation. We describe the method and give details of itsorder of convergence together with examples that show its effectiveness.
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ΠΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠ°;ΠΠ½ΡΠ΅Π³ΡΠ°Π»ΡΠ½ΡΠ΅ ΡΡΠ°Π²Π½Π΅Π½ΠΈΡ
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