Mirjana Brdar
University of Novi Sad
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Publication
Featured researches published by Mirjana Brdar.
Hemijska Industrija | 2012
Mirjana Brdar; Aleksandar Takaci; Marina B. Šćiban; Dušan Rakić
Equilibrium studies were carried out for the adsorption of Cu(II) onto Kraft lignin as an adsorbent. The experimental data were fitted to the Freundlich, Langmuir and Redlich-Peterson isotherms by linear and non-linear method. Comparison of linear and non-linear regression method was given in selecting the optimum isotherm for the experimental data. The coefficient of correlation r2 and Chi-square test χ2 was used to select the best linear theoretical isotherm. The best linear model is Redlich-Peterson isotherm model, where r2=0,985 and χ2=0,02. In order to predict the error ERRSQ, HYBRD, MPSD, ARE and EABS were used. Moreover, by minimizing these error functions the optimal values of parameters and also the optimum isotherm was found. The Redlich-Peterson isotherm was found to be the best representative for adsorption of Cu(II) on the adsorbent in the cases when ERRSQ, HYBRD, MPSD functions were used. There coefficients of determination are 0.986, 0.985, 0.984, respectively and Chi-square is 0.02 in all cases. Freundlich isotherms which were obtained by minimization of the ERRSQ, HYBRD, MPSD, ARE and EABS function showed very good agreement with experimental data. In all cases the coefficients of determination are greater than 0.91. Besides, it was observed that non-linear isotherm models were better for representation of equilibrium data than linearized models.
Journal of Computational and Applied Mathematics | 2016
Mirjana Brdar; Helena Zarin
A singularly perturbed problem with two small parameters is considered. On a Bakhvalov-type mesh we prove uniform convergence of a Galerkin finite element method with piecewise linear functions. Arguments in the error analysis include interpolation error bounds for a Clement quasi-interpolant as well as discretization error estimates in an energy norm. Numerical experiments support theoretical findings.
Applied Mathematics and Computation | 2016
Mirjana Brdar; Helena Zarin
A one-dimensional reaction-diffusion-convection problem is numerically solved by a finite element method on two layer-adapted meshes, Duran-type mesh and Duran-Shishkin-type mesh, both defined by recursive formulae. Robust error estimates in the energy norm are proved. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations.
Fixed Point Theory and Applications | 2011
Tatjana Došenović; Aleksandar Takaci; Dušan Rakić; Mirjana Brdar
AbstractIn this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of mappings f : S → S, where (S,F,T) is a Menger space. Mathematics Subject Classification (2000) 54H25, 47H10
Computers & Mathematics With Applications | 2016
Mirjana Brdar; Helena Zarin; Ljiljana Teofanov
Abstract A numerical approximation of a convection–reaction–diffusion problem by standard bilinear finite elements is considered. Using Duran–Lombardi and Duran–Shishkin type meshes we prove first order error estimates in an energy norm. Numerical examples confirm our theoretical results and show smaller errors compared to the well-known Shishkin mesh.
Chemical Engineering Journal | 2012
Mirjana Brdar; Marina B. Šćiban; Aleksandar Takaci; Tatjana Došenović
Hemijska Industrija | 2014
Mirjana Brdar; Marina B. Šćiban; Dragana V. Kukić; Tatjana Došenović
Filomat | 2014
Tatjana Došenović; Dušan Rakić; Mirjana Brdar
Chemical Engineering Science | 2013
Aleksandar Fistes; Dušan Rakić; Aleksandar Takaci; Mirjana Brdar
Powder Technology | 2014
Aleksandar Fistes; Dušan Rakić; Aleksandar Takaci; Mirjana Brdar