In this paper, He’s variational iteration method (VIM) has been used to obtain solutions of the seventh-order Sawada-Kotera equation (sSK) and a Lax’s seventh order KdV equations(LsKdV).The numerical solutions are compared with the Adomian decomposition method(ADM) and the known analytical solutions.The work confirms the power of the VIM in reducing the size of calculations w.r.t. ADM. Some ill...

A plethora of applications from Computational Sciences can be identified for a system nonlinear equations in an abstract space. These are mostly solved with iterative method because analytical does not exist such problems. The convergence the is established by sufficient conditions. Recently, there has been surge development high order methods. Local results reveal degree difficulty when choosi...

In the first part of paper, one-parameter (1P), fifth and seventh order polynomial interpolationconvolution kernels, are described. second paper an Experiment is The precision theimage interpolation was tested. Interpolation Test images from base, using wereperformed. kernels measured mean squared error (MSE). Next,optimum kernel parameter, α, were determined by minimizing MSE. After that, a co...

A 63-electrode optofluidic refractive wavefront modulator enabling spatial frequency correction up to the seventh radial Zernike order, highest order ever achieved with a dynamic modulator, is presented. The designed so that aberration performance nearly identical in both horizontal and vertical orientations, virtually eliminating gravity-induced parasitic surface deformations typical for devic...

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