The Moving Finite Element method for the solution of time-dependent partial dierential equations is a numerical solution scheme which allows the automatic adaption of the nite element approximation space with time, through the use of mesh relocation (r-renement). This paper analyses the asymptotic behaviour of the method for large times when it is applied to the solution of a class of self-adjo...

In this paper, modication of the optimal homotopy asymptotic method (MOHAM) is appliedupon singular initial value Lane-Emden type equations and results are compared with the available exactsolutions. The modied algorithm give the exact solution for dierential equations by using one iterationonly.

Pollution has become a very serious threat to our environment. Monitoring pollution is the rst step toward planning to save the environment. The use of dierential equations, monitoring pollution has become possible. In this paper, a Ritz-collocation method is introduced to solve non-linear oscillatory systems such as modelling the pollution of a system of lakes. The method is based upon Bernoul...

In this paper, the (m+1)-step Adams-Bashforth, Adams-Moulton, and Predictor-Correctormethods are used to solve rst-order linear fuzzy ordinary dierential equations. The conceptsof fuzzy interpolation and generalised strongly dierentiability are used, to obtaingeneral algorithms. Each of these algorithms has advantages over current methods. Moreover,for each algorithm a convergence formula can b...

The di€erential capacitance of a polycrystalline Ag electrode was measured in a NaClO4 electrolyte containing Na2S2O3 at concentrations ranging from 0.1 to 20mM and at electrode potentials ranging from )0.9 to )0.3V vs SCE. The di€erential capacitance measurements were analysed to obtain the surface coverage of speci®cally adsorbed thiosulfate (S2O 2ÿ 3 ) as a function of both electrode potenti...

This paper introduces a new estimation method of Luby-Racko 's pseudorandomness and maximum average of di erential probability of block ciphers with SPN(Substitution and Permutation Network)structures like E2. In this paper, we analyze the pseudorandomness of the SPN-structure and E2-like transformations and show that this can be easily calculated by simple matrix calculation, and clarify that ...

Abstract In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made an asymmetric topological superconducting chain coupled to two leads. This analytically solvable and can be realized by hybrid system semiconductor nanowire superconductors or 1D transverse-field Ising chains. such chains, change chemical potential, its ground state...