This paper is devoted to introduce analytic solutions by Differential Transform Method-Pade approximants with theoretical study for the problem of the hydromagnetic flow due to a permeable stretching surface embedded in a porous medium in the presence of transverse magnetic field. The governing momentum equation which is a nonlinear partial differential equation is reduced into a nonlinear ordi...

We present a method of enhanced convergence for the approximation of analytic functions. This method introduces conformal transformations in the approximation problems in order to help extract the values of a given analytic function from its Taylor expansion. We show that conformal transformations can extend the radius of convergence of a power series far into infinity, enhance substantially it...

Let [Sn] n=0 be such that Sn tS+ j=1 aj* n j as n , with 1>|*1 |> |*2 |> } } } , such that limj *j=0. A well-known result by Wynn states that when the Shanks transformation or its equivalent =-algorithm is applied to [Sn] n=0 , then = (n) 2k &Stak+1[> k i=1 (*k+1&*i) (1&*i)] 2 *k+1 as n . In the present work we extend this result (i) by allowing some of the *j to have the same modulus and (ii) ...

Many important problems in the processing of Magnetic Resonance data can be reduced to well known ill-posed inverse problems. MR relaxometry, spectroscopy and MR image formation problems can be formulated respectively as the numerical inversion of Laplace transform, the modal analysis problem and the truncated trigonometric moment problem. A unified framework to efficiently solve these problems...

Twizell, E.H. and S.A. Matar, Numerical methods for computing the eigenvalues of linear fourth-order boundary-value problems, Journal of Computational and Applied Mathematics 40 (1992) 115-125. Novel finite-difference methods are developed for approximating the cigenvalues of three types of linear, fourth-order, two-point, boundary-value problems. The fourth-order differential equation is trans...

Under the assumption of existence Stahl's $S$-compact set we give a short proof limit zeros distribution Pade polynomials and convergence in capacity diagonal approximants for generic class algebraic functions. The is direct but not from opposite as original is. means particular that all branch points multi-sheeted Riemann surface function are first order (i.e., assume such square root type). ...

I describe the results for the critical line and the thermodynamics of different phases of QCD which have been obtained by lattice simulations with an imaginary chemical potential. I review motivations and merits of the different strategies – Taylor expansion, Fourier analysis and Pade’ approximants – for analytic continuation from imaginary to real chemical potential. I consider phenomenologic...

In this paper we interpret the Berlekamp-Massey algorithm (BMA) for synthesis of linear feedback shift register (LFSR) as an algorithm computing Pade approximants for Laurent series over arbitrary field. This interpretation of the BMA is based on a iterated procedure for computing of the sequence of polynomials orthogonal to some sequence of polynomial spaces with scalar product depending on th...