Periodic solution for strongly nonlinear vibration systems by using the homotopy analysis method

Abstract

We consider signed graphs, i.e., graphs with positive or negative signs on their edges. The notion of signed strongly regular graph is recently defined by the author (Signed strongly regular graphs, Proceeding of 48th Annual Iranian Mathematical Conference, 2017). We construct some families of signed strongly regular graphs with only two distinct eigenvalues. The construction is based on the well-known method known as star complement technique.

Analytic Approximate Solutions and Numerical Results for Stagnation Point Flow of Jeffrey Fluid Towards an Off-Centered Rotating Disk

“…Liao [24] was the first to propose the homotopy analysis method (HAM) which inhibits the use of small/large parameters and provide an easy and simplified technique to find the analytic solution of all kinds of linear and non-linear problems encountered in solid mechanics, fluid mechanics and so forth [25][26][27][28][29]. The method is provided with a tool which gives the opportunity to select and control the convergence region of the obtained solution.…”