## Addendum to the paper “an iterative method for a functional-differential equation of second order with mixed type argument“

AbstractAuthors Diana Otrocol, Tiberiu Popoviciu Institute of Numerical Analysis of Romanian Academy, Cluj-Napoca, Romania Veronica Ilea, Department of Applied Mathematics,…

## Some properties of solutions of the homogeneous nonlinear second order differential equations

Abstract In this paper we consider the following nonlinear homogeneous second order differential equations, $$F(x,y,y^{\prime},y^{\prime\prime})=0.$$ We present for the solutions,…

## Convergence results for contact problems with memory term

AbstractIn this paper, we consider two quasistatic contact problems. The material’s behavior is modelled with an elastic constitutive law for…

## Conjugate free convection in a vertical channel filled with nanofluid

AbstractThe steady natural conjugate convection in a long vertical channel filled with a nanofluid and including internal heat generation is…

## Detection of low level periodic signals through enhanced self-correlation method. The case of ER Vulpeculae

AbstractThe self-correlation (SC) method proposed three decades ago by Percy, Jakate and Matthews is a complementary time series analysis method…

## Laguerre collocation solutions vs. analytic results for singular semilinear BVPs on the half line

AbstractWe make use of two Laguerre collocation techniques as a way to illustrate, deepen or extend some analytic results of…

## Pseudospectral solutions to some singular nonlinear BVPs. Applications in nonlinear mechanics

AbstractWe solve by Laguerre collocation method two second order genuinely nonlinear singularly perturbed boundary value problems and a fourth order…

## Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

AbstractIn numerous science and engineering applications a partial differential equation has to be solved on some fairly regular domain that…

## Solute transport in aquifers with evolving scale heterogeneity

AbstractTransport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we…

## Consistency issues in PDF methods

AbstractConcentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations…