A Multistep collocation techniques is used in this paper to develop a 3-point explicit and implicit block methods, which are suitable for generating solutions of the general second-order ordinary differential equations of the form y′′ f x, y, y′ , y x0 a, y′ x0 b. The derivation of both explicit and implicit block schemes is given for the purpose of comparison of results. The Stability and Conv...

The free transverse vibrations of two-dimensional functionally graded double Euler–Bernoulli beam system connected through a variable Winkler elastic layer are presented. Modulus elasticity and the density material beams assumed to vary along thickness length according power-law exponential functions, respectively. governing differential equations motion established by means Hamilton’s principl...

This document discusses accuracy of the collocation technique we employ to calculate the velocity field in ambient inviscid fluid above an interface swollen by a denser source fluid.

Time domain boundary integral formulations of transient scattering problems involve retarded potential integral equations (RPIEs). We outline how Fourier and Laplace transforms can be used to obtain an O(h) convergence result for a “polar” piecewise–linear collocation approximation of a scalar RPIE on an infinite flat plate.

in this paper, we will present a review of the multistep collocation method for delay volterra integral equations (dvies) from [1] and then, we study the superconvergence analysis of the multistep collocation method for dvies. some numerical examples are given to confirm our theoretical results.

A new solution method for stochastic differential equations via collocation approach Ali R. Soheili & F. Soleymani To cite this article: Ali R. Soheili & F. Soleymani (2016) A new solution method for stochastic differential equations via collocation approach, International Journal of Computer Mathematics, 93:12, 2079-2091, DOI: 10.1080/00207160.2015.1085029 To link to this article: http://dx.do...

This paper investigates the task of noun compound interpretation, building on the sense collocation approach proposed by Moldovan et al. (2004). Our primary task is to evaluate the impact of similar words on the sense collocation method, and decrease the sensitivity of the classifiers by expanding the range of sense collocations via different semantic relations. Our method combines hypernyms, h...