The machining precision in the scroll compressor with the compliant crank mechanism is not required so high as that with the fixed throw crank, but the sealing performance is better than the later's, therefore the scroll compressor with the compliant crank mechanism operates at higher efficiency. In this study, the characters of the compliant crank mechanism are discussed, while the Oldham coup...

Abstract. The problem of non-local nonlinear non-Fickian polymer diffusion as modelled by a diffusion equation with a nonlinearly coupled boundary value problem for a viscoelastic ‘pseudostress’ is considered (see, for example, DA Edwards in Z. angew. Math. Phys., 52, 2001, pp. 254—288). We present two numerical schemes using the implicit Euler method and also the Crank-Nicolson method. Each sc...

In this study, modifed Gauss elimination method will be used to obtain solution of first order Rothe difference scheme and second Crank-Nicholson for numerical approximation two-dimensional Schrödinger equation in space variable. One example is given approximate found by three methods. Modified with respect time variable compare the schemes are also solved classical inverse matrix method.

A new method is formulated and analyzed for the approximate solution of a twodimensional time-fractional diffusion-wave equation. In this method, orthogonal spline collocation is used for the spatial discretization and, for the time-stepping, a novel alternating direction implicit (ADI) method based on the Crank-Nicolson method combined with the L1-approximation of the time Caputo derivative of...

0021-9991/$ see front matter 2008 Elsevier Inc doi:10.1016/j.jcp.2008.06.032 * Corresponding author. Tel.: +1 609 243 2635; fa E-mail address: [email protected] (S.C. Jardin). In solving the 1D (flux surface averaged) transport equations for the temperatures, magnetic fields, and densities in the ‘‘evolving equilibrium” description of a tokamak [1], one increasingly encounters highly nonlinear th...

A partition of a non-negative integer n is a non-increasing sequence of positive integers whose sum is n. For example, The 5 partitions of 4 are 4, 3 + 1, 2 + 2, 2 + 1 + 1, and 1 + 1 + 1 + 1. To explain Ramanujan’s famous three partition congruences, the partition statistics, the rank (resp. the crank) were introduced by Dyson [8] (resp. Andrews and Garvan [3]). Atkin and Garvan [5] initiated t...

background: energy expenditure is of paramount importance in the assessment of usefulness of wheelchair for paraplegics. despite widespread recognition of problems associated with currently available mobility systems for persons with spinal cord injuries, development of more efficient systems has been slow.  lack of a suitable and simple technique for the assessment of energy expenditure in par...