A modified approximate analytic solution of the quadratic nonlinear oscillator '' x+ x2 = 0'' has been obtained based on an Extended Iteration method. In this study the Fourier series and utilized indispensable truncated ...

Considerable attention has been directed toward the study of strongly nonlinear differential systems. Nonlinear differential systems have been widely used in many areas of applied mathematics, physics, plasma and laser ...

In this thesis, we have extended He’s homotopy perturbation method for obtaining the approximate analytical solution of second order generalized strongly nonlinear Duffing equation with varying coefficients in presence ...

A modified approximate analytic solution of the cubic nonlinear oscillator “ẍ + x3 = 0" has been obtained based on an iteration method. Here we have used the truncated Fourier series in each iterative step. The approximate ...

A perturbation method known as "the asymptotic averaging method" in the theory of nonlinear oscillations was first presented by Krylov and Bogoliubov (KB) in 1947. Primarily, the method was developed only to obtain the ...

In this thesis, a case of the similarity solution of laminar convective boundary layer flow around a vertical slender body with transpirations has been investigated. Firstly, the governing boundary layer partial differential ...

Computer experiments involve a large numbers of variables, but only a few of them have no negligible influence on the response. As is recognized by several authors, the choice of the design points for computer experiments ...

With the advancement of computing power now a days Numerical Weather Forecasting (NWP) has emerged as an important tool and is playing its role for short to medium even for long range weather forecasting. Like other models ...

American Mathematician Lotfi A. Zadeh in 1965 first introduced the concept of fuzzy set. He interpreted a fuzzy set on a set as a mapping from the set into the unit interval I= [0.1], which is a generalization of the ...

A new approach of the Mickens extended iterative method has been presented to obtain approximate analytic solutions for nonlinear oscillatory differential equation. To get modified approximate solution of the inverse ...