## Conjugate heat transfer of a nanofluid in a vertical channel adjacent to a heat generating solid domain

AbstractThe effect of thermal dispersion in the conjugate steady free convection flow of a nanofluid in a vertical channel is…

AbstractThe effect of thermal dispersion in the conjugate steady free convection flow of a nanofluid in a vertical channel is…

AbstractThe steady mixed convection flow in a vertical channel is investigated for laminar and fully developed flow regime. In the…

AbstractThe implicit methods for numerical solving of ODEs lead to nonlinear equations which are usually solved by the Newton method.…

AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation. The contact is…

AbstractIn this paper we introduce a class of explicit numerical methods for approximating the solutions of scalar initial value problems…

AbstractUsing a known interpolation formula we introduce a class of numerical methods for approximating the solutions of scalar initial value…

AbstractWe consider a history-dependent problem which describes the contact between an elastic body and an obstacle, the so-called foundation. The…

AbstractIn this paper we study a mathematical model which describes the quasistatic contact between a viscoplastic body and a foundation.…

AbstractThe present paper represents a continuation of [2]. There, a quasistatic contact problem for viscoplastic materials was considered, in which…

AbstractWe consider a mathematical model which describes the quasistatic contact between a viscoelastic body and an obstacle, the so-called foundation.…

Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…

Read More Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…

Read More AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…

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