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Numeric solution of Volterra integral equations of the first kind with discontinuous kernels

Muftahov I., Tynda A., Sidorov D. Numeric solution of Volterra integral equations of the first kind with discontinuous kernels // Journal of Computational and Applied Mathematics. Vol.313. 2017. P.119-128. DOI: 10.1016/j.cam.2016.09.003 Numeric methods for solution of the weakly regular linear and nonlinear ...

Теги: volterra integral equations , discontinuous kernels , direct quadrature method , regularization , evolving dynamical systems , midpoint quadrature , model , systems
Раздел: ИСЭМ СО РАН
Numerical solving an inverse boundary value problem of heat conduction using Volterra equations of the first kind

Solodusha S.V., Yaparova, N.M Numerical solving an inverse boundary value problem of heat conduction using Volterra equations of the first kind // Numerical Analysis and Applications. Vol.8. No.3. 2015. P.267-274. DOI: 10.1134/S1995423915030076 In this paper, an inverse boundary value problem of heat conduction is considered. To solve this problem, we propose a new approach based on the Laplace transform. This approach allows us to reduce the original problem to solving Volterra equations of the...

Теги: numerical solution , product integration method , volterra integral equations
Раздел: ИСЭМ СО РАН


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