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 , systemsSolodusha 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
