in this paper, we apply the local fractional adomian decomposition and variational iteration methods to obtain the analytic approximate solutions of fredholm integral equations of the second kind within local fractional derivative operators. the iteration procedure is based on local fractional derivative. the obtained results reveal that the proposed methods are very efficient and simple tools ...

In this paper, plate-like NiO nanoparticles were prepared by one-pot solid-state thermal decomposition of nickel (II) Schiff base complex as new precursor. First, the nickel (II) Schiff base precursor was prepared by solid-state grinding using nickel (II) nitrate hexahydrate, Ni(NO3)2∙6H2O, and the Schiff base ligand N,N′-bis-(salicylidene) benzene-1,4-diamine) for 30 min without using any solv...

Model decomposition is a powerful tool to scale the design of large and complex systems. It enables developers to separate components development from the concerns of their integration and orchestration. Event-B is a refinement-based formal method, equipped with three decomposition styles that come with solid semantic foundations and strong tool supports. This paper intends to give some useful ...

here, adomian decomposition method has been used for finding approximateand numerical solutions of nonlinear differential difference equations arising inmathematical physics. two models of special interest in physics, namely, thehybrid nonlinear differential difference equation and relativistic toda couplednonlinear differential-difference equation are chosen to illustrate the validity andthe g...

Uncertainty of measuring complex-valued physical quantities can be described by complex sets. These sets can have complicated shapes, so we would like to nd a good approximating family of sets. Which approximating family is the best? We reduce the corresponding optimization problem to a geometric one: namely, we prove that, under some reasonable conditions, an optimal family must be shift-, rot...

  In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems    

An atomic decomposition is considered in Banach space.  A method for constructing an atomic decomposition of Banach  space, starting with atomic decomposition of  subspaces  is presented. Some relations between them are established. The proposed method is used in the  study  of the  frame  properties of systems of eigenfunctions and associated functions of discontinuous differential operators.

In this study, mononuclear octahedral cobalt(III) Schiff base complex [CoL3], L = (5-bromo-2-hydroxybenzyl-2-furylmethyl)imine, was synthesized from the reaction of Co(NO3)2•6H2O and the Schiff base ligand L in methanol as solvent. It used as a new precursor to prepare spinel type cobalt oxide nanoparticles by a facile solid-state thermal decomposition. Controlling the temperature and time, Co3...

This paper discusses techniques for computing a few selected eigenvalue-eigenvector pairs of large and sparse symmetric matrices. A recently developed powerful class of techniques to solve this type of problems is based on integrating the matrix resolvent operator along a complex contour that encloses the interval containing the eigenvalues of interest. This paper considers such contour integra...

An initial boundary value problem of convection-diffusion type for a singularly perturbed quasilinear parabolic equation is considered on an interval. For this problem we construct ε-uniformly convergent difference schemes (nonlinear iteration-free schemes and their iterative variants) based on the domain decomposition method, which allow us to implement sequential and parallel computations on ...