In this paper, analytic solutions of two-dimensional coupled Burgers' equations are obtained by the Homotopy analysis and the Homotopy Pad$acute{e}$ methods. The obtained approximation by using Homotopy method contains an auxiliary parameter which is a simple way to control and adjust the convergence region and rate of solution series. The approximation solutions by $[m,m]$ Homotopy Pad$acute{e...

Abstract In this article, weak and strong convergence theorems of the M-iteration method for

We introduce the notion of consistent error bound functions which provides a unifying framework for bounds multiple convex sets. This goes beyond classical Lipschitzian and Hölderian includes logarithmic entropic found in exponential cone. It also obtainable under theory amenable cones. Our main result is that convergence rate several projection algorithms feasibility problems can be expressed ...