modification of the classical least squares method is utilized to approximate a solution to the system of nonlinear equations of condition. After every iteration, the statistic E squared is computed as a measure of the goodness of fit. Commencing with the second iteration, the successive values of E squared are differenced, and when the difference in absolute value becomes less than epsilon, the calculations cease. If the number of iterations necessary to achieve this result exceeds 1 max… Expand

Rather than running an application that solves the Navier-Stokes equations on one computer, a platform is developed that allows a group of computers to communicate with one another working together to obtain a solution of a specific flow problem.Expand

Several algorithms are available for the computation of coefficients of the truncated Chebyshev series expansion on [-1, 1] ƒ(x), but the commonly used algorithms are less suitable for practical use since it requires the abscissas and weights of the Gauss-Legendre quadrature formulas.Expand

However, in attempting to find a suitable polynomial approximation to a general function f(x), the integral occurring in equation (1.3) cannot be evaluated explicitly, and recourse has to be made to… Expand

Introduction. In the numerical solution of mathematical problems it is common to represent a function of a real variable by the leading terms of its infinite Chebyshev series expansion. The purpose… Expand