This work aims at a new semi-analytical method called the variational iteration transformation for solving nonlinear homogeneous and nonhomogeneous fractional-order gas dynamics equations. The Shehu iterative technique are applied to solve suggested problems. proposed has an advantage over existing approaches because it does not require additional materials or computations. Four problems used t...

The amoeba of a Laurent polynomial is the image of the corresponding hypersurface under the coordinatewise log absolute value map. In this article, we demonstrate that a theoretical amoeba approximation method due to Purbhoo can be used efficiently in practice. To do this, we resolve the main bottleneck in Purbhoo’s method by exploiting relations between cyclic resultants. We use the same appro...

Diffuse reflectance spectroscopy is one of the simplest and widely used techniques for the non-invasive study of biological tissues but no exact analytical solution exists for the problem of diffuse reflectance from turbid media such as biological tissues. In this work, a general treatment of the problem of diffuse reflectance from a homogeneous semi-infinite turbid medium is presented using Mo...

in this study, a new efficient semi-analytical method is introduced to give approximate solutions of strongly nonlinear oscillators. the proposed method is based on combination of two different methods, the multi-step homotopy analysis method and spectral method, called the multi-step spectral homotopy analysis method (msham). in this method, firstly, we propose a new spectral homotopy analysis...

To predict the sealing performance of subsea pipeline compression connector, a semi-analytical method is proposed and verified. The leakage condition obtained as function minimum radial deflection. consists three parts: macroscopic analytical model for interference process deduced based on membrane theory, mesoscopic two-dimensional finite element analysis internally turned surface according to...