Algebraic integral equations is a special category of Volterra integral equations system,  that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becom...

Background: In vitro maturation is a good method to decrease cancer risk of superovulation by gonadotropin hormones. A paracrine effect of oocyte secretions on oocyte developmental competence is under investigation. Apart from oocyte maturation, ovulation in vivo requires a precise control of extracellular matrix modification. Cumulus cells secrete hyaluronan to form a muco-elastic extracellula...

In this paper, Exp-function and (G′/G)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. As a results, some new exact traveling wave solutions are obtained.

This paper presents the AMD-K7 IEEE 754 and x87 compliant floating point division and square root algorithms and implementation. The AMD-K7 processor employs an iterative implementation of a series expansion to converge quadratically to the quotient and square root. Highly accurate initial approximations and a high performance shared floating point multiplier assist in achieving low division an...

We consider reproducing kernels K : ⌦ ⇥ ⌦ ! R in multiscale series expansion form, i.e., kernels of the form K (x, y) = P ` 2N`P j2I`` ,j (x) `,j (y) with weightsànd structurally simple basis functions`,i. Here, we deal with basis functions such as polynomials or frame systems, where, for`2 N, the index set I ` is finite or countable. We derive relations between approximation properties of spac...

Meshfree particle method, which is always regarded as a pure Lagrangian approach, is easily represented complicated domain topologies, moving boundaries, and multiphase media. Solving acoustic problems with the mesfree particle method forms a branch of the acoustic wave modeling field, namely, particle-based computational acoustics (PCA). The aim of this paper is to improve the accuracy of usin...

The optimal incremental function approximation method is implemented for the adaptive and meshless solution of differential equations. The basis functions and associated coefficients of a series expansion representing the solution are selected optimally at each step of the algorithm according to appropriate error minimization criteria. Thus, the solution is built incrementally. In this manner, ...

We investigate the performance of a stack algorithm to decode binary Reed-Muller codes. As metric to evaluate the different elements in the stack we use a recently derived lower bound on the squared Euclidean distance. Similar to the A -algorithm the new metric comprises a lower bound on the increase of the squared Euclidean distance in future decoding steps. Simulation results show that in cas...

This paper addresses the formal specification and verification of situated Multi-Agent Systems (MAS) that can be formulated within the Influence/Reaction model as proposed in 1996 by Ferber & Muller. In this model, our objective is to prove the correctness of reactive MAS with respect to a certain formal specification or property, using formal methods. This is an important step to bring MAS to ...

In this paper we propose a wavelet Taylor–Galerkin method for the numerical solution of time-dependent advection–di usion problems. The discretization in time is performed before the spatial discretization by introducing secondand third-order accurate generalization of the standard time stepping schemes with the help of Taylor series expansions in time step. Numerical schemes taking advantage o...