Информационная система "Конференции"

Abstracts

Numerical solution of differential and integral equations

The new method of numerical solving the linear Volterra equations with high accuracy is proposed. The quadrature coefficients are defined as a function from kernel's moments. This approach does allow to solve a special integral equations numerically, for example the equations with slightly singular kernels. The dependence of the approximation constant on the number of subgrid points is analyzed. It is shown that this constant is decreased exponentially. An estimate of the solution error for a problem with pertuberations of the kernel and the right part is found.

Note. Abstracts are published in author's edition

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