We use the polynomial least squares method (PLSM), which allows us to compute analytical approximate polynomial solutions for a very general class of strongly nonlinear delay differential equations. The method is tested by computing approximate solutions for several applications including the pantograph equations and a nonlinear time-delay model from biology. The accuracy of the method is illus...

in this paper, time-domain dynamic analysis of dam - infinite reservoir is studied. a numerical method, discrete singular convolution (dsc), which seems to be efficient and simple, has been used to model the mixed boundary conditions. after a brief introduction, dsc is applied to model the equation of motion of fluid-structure with constant cross section subjected to el-centro (1940) earthquake...

In this paper, we apply the  homotopy analysis method (HAM) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...

In this paper, we derive a nonlinear equation of corneal asphericity (Q) using the tangential radius of curvature (rt) on every semi-meridian. We transform the nonlinear equation into the linear equation and then obtain the Q-value of corneal semi-meridian by the linear regression method. We find the 360 semi-meridional variation rule of the Q-value using polynomial function. Furthermore, we co...

The problem of primordial nucleosynthesis of helium in brane cosmology is studied using a semi-analytical method, where the Fermi-Dirac statistic is ignored. This semi-analytical method agrees with a more complete numerical calculation with a precision of order of 10% or better. The quadratic term for the matter density is the only source considered in the modified Einstein equations predicted ...

in this paper, non-polynomial spline method for solving coupled burgers’ equations are presented. we take a new spline function. the stability analysis using von-neumann technique shows the scheme is unconditionally stable. to test accuracy the error norms2l, ∞l are computed and give two examples to illustrate the sufficiency of the method for solving such nonlinear partial differential equatio...

In this investigation, attempts have been made to solve two-dimension nonlinear viscous flow between slowly expanding or contracting walls with weak permeability by utilizing a semi analytical Akbari Ganji's Method (AGM). As regard to previous papers, solving of nonlinear equations is difficult and the results are not accurate. This new approach is emerged after comparing the achieved solutions...