Least squares method (LSM) is an accurate and rapid method for solving some analytical and numerical problems. This method can be used to estimate the average reservoir pressure in well test analysis. In fact, it may be employed to estimate parameters such as permeability (k) and pore volume (Vp). Regarding this point, buildup, drawdown, late transient test data, modified Muskat method, interfe...

This study is therefore aimed at developing classes of efficient numerical integration schemes, for direct solution second-order Partial Differential Equations (PDEs) with the aid method lines. The power series polynomials were used as basis functions trial solutions in derivation proposed schemes via collocation and interpolation techniques some appropriately chosen grid off-grid points derive...

on the basis of a reproducing kernel space, an iterative algorithm for solving the one-dimensional linear and nonlinear schrödinger equations is presented. the analytical solution is shown in a series form in the reproducing kernel space and the approximate solution is constructed by truncating the series. the convergence of the approximate solution to the analytical solution is also proved. th...