wave prediction is useful for safety and effective management of vessel navigation or construction of offshore structures. since human activity mainly takes place in nearshore regions, accurate wave prediction is necessary there. however, nearshore waves are not easy to predict compared with ocean waves, because not only the waves but also the wind, which is the energy source of the waves, chan...

Abstract In this work, three different integration techniques, which are the numerical, semi-analytical and exact integration techniques are briefly reviewed. Numerical integrations are carried out using three different Quadrature rules, which are the Classical Gauss Quadrature, Gauss Legendre and Generalized Gaussian Quadrature. Line integral method is used to perform semi-analytical integrati...

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...

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...