Keywords : partial differential equations

An Approximate Solution to The Newell-Whitehead Equation by Adomian Decomposition Method

Saad A. Manaa

AL-Rafidain Journal of Computer Sciences and Mathematics, 2011, Volume 8, Issue 1, Pages 171-180
DOI: 10.33899/csmj.2011.163617

In this paper, we solved the Newell-Whitehead equation approximately using Adomain Decomposition method and we have compared this solution with the exact solution; we found that the solution of this method is so close to the exact solution and this solution is slower to converge to the exact solution when we increase t however,  this method is effective for this kind of problems.  

Stability of Liquid Film with Negligible Viscosity

Hamsa D. Saleem

AL-Rafidain Journal of Computer Sciences and Mathematics, 2005, Volume 2, Issue 1, Pages 11-19
DOI: 10.33899/csmj.2005.164063

In this paper, we consider the stability analysis for a disturbed unsteady flow, which is two-dimensional incompressible flow in a symmetric film where the effect of viscosity can be neglected in comparison with inertia forces. The partial differential equations governing such flow are obtained from the Navier - Stokes equations and we obtain an analytic solution for those equations. The whole system is disturbed and we found the regions where the flow is stable or unstable.