‎A natural algorithm with an optimal order of convergence is proposed for numerical solution of a class of cordial weakly singular Volterra integral equations‎. ‎The equations of this class appear in heat conduction problems with mixed boundary conditions‎. ‎The algorithm is based on a representation of the solution and compound Gaussian quadrature rules with graded meshes‎. ‎A comparative stud...

Here‎, ‎we aim to develop a new algorithm for solving a multiobjective linear programming problem‎. ‎The algorithm is to obtain a solution which approximately meets the decision maker's preferences‎. ‎It is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution‎. ‎Numerical examples and a simulation study are used to illu...

The Taguchi method was applied as an experimental design to determine optimum conditions for colour removal from azo dyes solutions containing remazol yellow G by electrocoagulation (EC) using iron and steel electrodes as anode and cathode, respectively. An orthogonal array (OA9) experimental design that allows to investigation the simultaneous variations of four parameters (initial remazol ye...

The estimation of the price of different kinds of options plays a very important role in the development of strategies on financial and stock markets. There many books and various papers which are devoted to the exist mathematical theory of option pricing. Merton and Scholes became winners of a Nobel Prize in economy who described the basic concepts of the mathematical theory development. In th...

we discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of kirchhoff type [ u_{tt}-phi (x)||nabla u(t)||^{2}delta u+delta u_{t}=|u|^{a}u,, x in mathbb{r}^{n} ,,tgeq 0;,]with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $n geq 3, ; delta geq 0$ and $(phi (x))^{-1} =g (x)$  is a positive function lying in $l^{n/2}(mathb...

The present study focuses on a family of Boolean games whose agents’ interactions are defined by a social network. The task of finding social-welfare-maximizing outcomes for such games is NP-hard. Moreover, such optimal outcomes are not necessarily stable. Therefore, our aim is to devise a procedure that finds stable outcomes with an as high as possible social welfare. To this end, we construct...

We propose simple heuristics for the assembly line worker assignment and balancing problem. This problem typically occurs in assembly lines in sheltered work centers for the disabled. Different from the classical simple assembly line balancing problem, the task execution times vary according to the assigned worker. We develop a constructive heuristic framework based on task and worker priority ...

Modified Adomian decomposition method has been used intensively to solve linear and nonlinear singular boundary and initial value problems. It has been proved to be very efficient in generating series solutions of the problem under consideration under the assumption that such series solution exits. The method is illustrated by some examples of higher order ordinary equations systems and series ...

This paper investigates the discrete simulation of the solution of initial-boundaryvalue problems that typically arise in technical areas. Since many of them lead to unbounded and non-self-adjoint differential operators, we have to use a rather general theory as a mathematical basis. For the class of sectorial operators with a compact resolvent operator, the solution of initial-boundary-value p...