2018-10

2018 International Conference on Advanced Science and Engineering (ICOASE)

In this paper, a modern and approach method called residual power series technique has been applied to find numerical solution for an important equation in optical communication systems and optical fibers called Fornberg-Whitham equation. In addition to that, the technique has been used in regard of the effectiveness of time. The present results have been used to compare it with the exact solution and have been shown graphically to demonstrate the effectiveness and suitability of RPS method. Furthermore, the steadiness and the action of time of the Fornberg-Whitham equation and the modified Fornberg-Whitham equation have been discussed and concluded that the RPSM method is an influential and beneficial one to solve strong nonlinear partial differential equations.

2018-09

Conference: International Conference on Chemical and Biochemical EngineeringAt: Shanghai, China

In this study, Least Square Method (LSM) and Differential Transform Method (DTM) are applied to solve the three dimensional problem of steady nanofluid deposition on an inclined rotating disk is illustrated. The governing non-linear partial differential equations are reduced to the nonlinear ordinary differential equations system by similarity transform. There is a good agreement between the present analytical and numerical results. Results indicate that increasing nanofluid volume fraction leads to increase in temperature profile and highest temperature obtained for Al2O3-water case.