dc.contributor.author Motsa, Sandile dc.date.accessioned 2021-05-10T08:24:42Z dc.date.available 2021-05-10T08:24:42Z dc.date.issued 2017 dc.identifier.uri http://hdl.handle.net/11071/10491 dc.description Paper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya. en_US dc.description.abstract This work presents a new simple iteration method for solving different classes of non-linear ordinary and partial differential equations. The solution method extends the ideas of the fixed point iteration method to non-linear differential equations that have been derived from material derivatives. Such equations are mostly encountered in fluid mechanics applications. The study demonstrates the derivation and implementation of the iteration method, called Simple Iteration Method (SIM), on selected classical non-linear differential equations with fluid mechanics application such as selected channel flows and boundary layer flows. Examples of problems considered include the Jeffery-Hamel flow, MHD porous channel flow, Falkner-Skan equations, Micropolar flows, unsteady flow over impulsively stretching sheets and many other type of flows. Fluid flows whose governing equations are non-linear systems of coupled ODEs and PDEs are also considered. The study demonstrates that the proposed SIM approach gives accurate solutions, converges rapidly and is numerically consistent. Analysis of convergence and consistency is also presented. en_US dc.language.iso en en_US dc.publisher Strathmore University en_US dc.subject Iteration method en_US dc.subject Channel flow en_US dc.subject Boundary layer flow en_US dc.subject Pseudo-spectral method en_US dc.title New simple iteration method for solving non-linear ODEs/PDEs with fluid mechanics applications en_US dc.type Article en_US
﻿

### This item appears in the following Collection(s)

• SIMC 2017 [85]
4th Strathmore International Mathematics Conference (June 19 – 23, 2017)