The present study elaborates on the thermal distribution and efficiency of a longitudinal rectangular fin with exponentially varying temperature-dependent conductivity heat transfer coefficient concerning internal generation. Also, is comparatively studied for both linearly conductivity. Further, examined by using ANSYS software different materials. Many physical mechanisms can be explained ord...

We investigate convergence of the rational-trigonometric-polynomial interpolation that performs convergence acceleration of the classical trigonometric interpolation by sequential application of polynomial and rational correction functions. Unknown parameters of the rational corrections are determined along the ideas of the Fourier-Pade approximations. The resultant interpolation we call as Fou...

The Extended Euclidean algorithm for matrix Pade approximants is applied to compute matrix Pade approximants in rectangular full packed format (RFP) if the coefficient matrices of the input matrix polynomial are triangular. The procedure given by Gustavson et al for packing a triangular matrix in rectangular full packed format is applied to pack sequence of lower triangular matrices of a matrix...

We show that the Pade Approximant (PA) approach for resummation of perturbative series in QCD provides a systematic method for approximating the flow of momentum in Feynman diagrams. In the large-/30 limit, diagonal PA’s generalize the Brodsky-LepageMackenzie (BLM) scale-setting method to higher orders in a renormalization scaleand scheme-invariant manner, using multiple scales that represent N...

We describe a collection of Pad e-type methods for accelerating the convergence of sequence of functions. The construction and connections of Pad e’s methods with other similar methods are given. We examine the e ectiveness of these new methods, namely integral Pad e approximant, modi ed Pad e approximant and squared Pad e approximant together with the well-established methods, namely functiona...

We derive fourth post-Newtonian (4PN) contributions to the Keplerian-type parametric solution associated with conservative dynamics of eccentric, non-spinning compact binaries. The has been computed while ignoring certain zero-average, oscillatory terms arising due 4PN tail effects. provide explicit expressions for and various orbital elements in conserved energy, angular momentum symmetric mas...

In this paper, Numerical solution of Differential-Algebraic equations (DAEs) with index-3 is considered by Pade approximation. We applied this method to two examples. First differential-algebraic equations (DAEs) with index-3 has been converted to power series by one-dimensional differential transformation, Then the numerical solution of equation was put into Pade series form. Thus we obtained ...

In this paper, the homotopy Pade technique is presented as an alternative method to derive the analytical solution for nonlinear dynamical system. Illustrative example is used to show the validity and accuracy of the method in solving the nonlinear system. Comparisons are conducted between the analytical approximation and numerical solution. The results obtained here demonstrate that the homoto...