共查询到10条相似文献,搜索用时 93 毫秒
1.
To solve Fredholm integral equations of the second kind, a generalized linear functional is introduced and a new function-valued Pade-type approximation is denned. By means of the power series expansion of the solution, this method can construct an approximate solution to solve the given integral equation. On the basis of the orthogonal polynomials, two useful determinant expressions of the numerator polynomial and the denominator polynomial for Pade-type approximation are explicitly given. 相似文献
2.
A combined approach of the Laplace transform and Padé approximation solving viscoelasticity problems
《International Journal of Solids and Structures》2007,44(1):66-76
In this paper the Laplace transform method is combined with Padé approximations to solve linear viscoelastic problems. This approach allows to avoid the usual difficulties of original function determination. An algorithm is given to find solution with arbitrary precision. As an example the solution for problem of viscoelastic orthotropic half-plane stress state under concentrated normal force is given. 相似文献
3.
Nonlinear Dynamics - An improved precise integration method (PIM) incorporated with Padé approximation (PadéPIM) is proposed, and the aeroelastic behavior of an aeroelastic airfoil with... 相似文献
4.
《International Journal of Solids and Structures》2006,43(21):6329-6346
The fitting of the flexural velocity branch by means of the Padé approximation is examined. Its use for free isotropic plates is elaborated and compared to other approaches. The flexural-velocity expansion into power series, which underlies the Padé implementation, is detailed. The generalization for fluid-loaded plates and inhomogeneous plates is outlined, and the impact of anisotropy is discussed in some detail. 相似文献
5.
《International Journal of Solids and Structures》2003,40(9):2301-2320
The paper presents a modification of the classical boundary integral equation method (BIEM) for two-dimensional potential boundary values problems. The proposed modification consists in describing the boundary geometry by means of Bézier curves. As a result of this analytical modification of the BIEM, a new parametric integral equation system (PIES) was obtained. The kernels of these equations include the geometry of the boundary. This new PIES is no longer defined on the boundary, as in the case of the BIEM, but on the straight line for any given domain. The solution of the new PIES does not require a boundary discretization since it can be reduced merely to an approximation of boundary functions. To solve this PIES a pseudospectral method has been proposed and the results obtained were compared with exact solutions. 相似文献
6.
The purpose of this study is to implement a new analytical method which is a combination of the homotopy analysis method (HAM)
and the Padé approximant for solving magnetohydrodynamic boundary-layer flow. The solution is compared with the numerical
solution. Comparisons between the HAM–Padé and the numerical solution reveal that the new technique is a promising tool for
solving MHD boundary-layer equations. The effects of the various parameters on the velocity and temperature profiles are presented
graphically form. Favorable comparisons with previously published works (Crane, J. Appl. Math. Phys. 21:645–647, 1970, and Vajravelu and Hadjinicolaou, Int. J. Eng. Sci. 35:1237–1244, 1997) are obtained. It is predicted that HAM–Padé can have wide application in engineering problems (especially for boundary-layer
and natural convection problems). 相似文献
7.
The three-dimensional(3D) nano?uid ?ow among the rotating circular plates ?lled with nanoparticles and gyrotactic microorganisms is studied. A generalized form of the magnetic Reynolds number is used for the mathematical modeling of the ferro-nano?uid ?ow. The torque e?ects on the lower and upper plates are calculated.A di?erential transform scheme with the Pad′e approximation is used to solve the coupled highly nonlinear ordinary di?erential equations. The results show that the squeeze Reynolds number signi?cantly suppresses the temperature, microorganism, and nanoparticle concentration distribution, and agree well with those obtained by the numerical method. 相似文献
8.
Two efficient recursive algorithms epsilon-algorithm and eta-algorithm are introduced to compute the generalized inverse function-valued
Padé approximants. The approximants were used to accelerate the convergence of the power series with function-valued coefficients
and to estimate characteristic value of the integral equations. Famous Wynn identities of the Padé approximants is also established
by means of the connection of two algorithms.
Foundation items: the National Natural Science Foundation of China (10271074)
Biographies: LI Chun-jing (1958 −) GU Chuan-qing (1955 −) 相似文献
9.
《Comptes Rendus de l'Académie des Sciences》2001,329(6):457-462
In this paper, we propose a new class of algorithms to solve large scale linear algebraic equations. This method is based on homotopy, perturbation technique and Padé approximants. 相似文献
10.
An experimental study of coupled models of sliding and spinning friction is carried out. The models are based on Padé approximants
of exact integral models. The experimental setup specially designed for the study is described. The experimental procedures
are outlined and the results obtained are analyzed. 相似文献