Solving a non-linear differential equation most times is difficult and requires some technicalities. Many semi-analytical methods were derived in literature to provide series solution problem, with each method giving level of accuracy when compared their equivalent exact (or numerical case does not exist). Thus, system ordinary equations (ODEs) arising from formulated Susceptible-Infected-Quara...

In this paper, a hybrid technique based on the combining of differential transform approach, Laplace transformation, and Pade approximant is successfully implemented for solving Volterra Integro (VID) equations subject to appropriate conditions. The proposed method known as modified (MDTM) enlarges domain convergence with less computational time. One interesting features algorithm ability produ...

; The Pade approximant problem is related to a (not necessarily orthogonal) projection of a linear functional equation of the Fredholni type. If the kernel is of trace class and its upper Hessenberg form is tridiagonal (this class includes Hermitian operators), then we prove that not only do the diagonal Pade' appioximants converge, but so do their numerators and denominators separately. The ge...

We study the effect of a possible fourth heavy generation of fermions on the Higgs sector of the standard model. We show, from the violation of elastic unitarity, that the scale of strong interactions is well below 1 TeV even with a Higgs mass as low as 500 GeV provided the fourth generation fermion mass is equal or larger than the Higgs mass. The diagonal Pade approximant method is then used t...

During the last few years several authors have tried to generalize the concept of Pad& approximant to multivariate functions and to prove a generalization of Montessus de Ballore’s theorem. We refer, e.g., to J. Chisholm and P. Graves-Morris (Proc. Roy. Sot. London Ser. A 342 (1975), 341-372), J. Karlsson and H. Wallin (“Pad& and Rational Approximations and Applications” (E. B. Saff and R. S. V...

<p>In this paper, a modified procedure based on the residual power series method (RPSM) was implemented to achieve approximate solution with high degree of accuracy for system multi-pantograph type delay differential equations (DDEs). This is considered as hybrid technique used improve curacy standard RPSM by combining RPSM, Laplace transform and Pade approximant be powerful that can solv...

A novel nonparaxial technique based on Pade approximant for modeling ultra short optical pulses has been discussed and verified. The characterization of the technique shows excellent performance in terms of accuracy, efficiency, and stability where the tradiFigure 4 Variation of return loss with frequency for S-MP&SLGPMRMSA-OPMS when Ls1 14 mm. [Color figure can be viewed in the online issue, w...

This paper is concerned with a thorough investigation in achieving exact analytical solution for the Van der Pol (VDP) nonlinear oscillators models via Adomian decomposition method (ADM). The are time dependent second order ordinary differential equations. ADM has already been applied, existing literatures, to obtain approximate results. But, we adapt by adjusting source term; procedure that ba...