Akindeinde, Saheed Ojo Approximate solutions of the Brinkman-Forscheimer model. (English) Zbl 1373.76213 J. Appl. Math. Bioinform. 5, No. 4, 29-42 (2015). Summary: This article discusses approximation methods for solving the strongly nonlinear Brinkman-Forscheimer equation describing the unidirectional flow of fluid through a horizontal channel filled with porous medium. Comparisons were made of approximations by semi-analytic methods and the finite difference method for this nonlinear problem. The results indicated that the approximations by the finite difference method compared well with solutions by semi-analytic methods in the literature. MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs 76S05 Flows in porous media; filtration; seepage Keywords:Adomian decomposition method; variational iteration; Brinkman-Forscheimer model; nonlinear boundary value problem; bvp PDFBibTeX XMLCite \textit{S. O. Akindeinde}, J. Appl. Math. Bioinform. 5, No. 4, 29--42 (2015; Zbl 1373.76213)