the numerical method presented by safaiy et al. [1] is reformulated with finite volume method in its most general form and tested on non-orthogonal flow problems. navier-stokes equations are solved for the solution of stream function and vorticity. numerical solutions of the driven skewed cavity flow, solved using a fine grid (513×513) mesh, are presented for reynolds number of 100 and 1000 for...

in recent years, numerous approaches have been utilized for finding the exact solutions to nonlinear partial differential equations. one such method is known as the new extended (g'/g)-expansion method and was proposed by roshid et al. in this paper, we apply this method and achieve exact solutions to nonlinear partial differential equations (nlpdes), namely the benjamin-ono equation. it i...

in this paper, we investigate the canonical property of solutions of a system of differentialequations having a singularity and turning point of even order. first, by a replacement, we transform thesystem to the sturm-liouville equation with a turning point. using the asymptotic estimates for a specialfundamental system of solutions of sturm-liouville equation, we study the infinite product rep...