In this article, we apply cubature formulas based on number-theoretic methods. In this work, using uniform grids, we will approximately solve the system of Volterra integral equations of the 2nd kind
yτ(x)=fτ(x)+∑j=1q∫0xKτj(x,t)yj(t)dtτ=1,...,q.
and the error of the solution is estimated, where yj(x)∈Hs1(C1),Kjτ(x,t)∈H2s1(C2)⁠.
Topics
Integral equations
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