eng Science and Education Publishing American Journal of Numerical Analysis 2372-2126 2022-12-04 6 1 1 6 10.12691/ajna-6-1-1 AJNA2022611 article Analytic Solution of the Finite-dimensional Richards Equation under Cauchy Von-Neumann Condition by the New Algorithm SBA Ben-Sthal Sakoma Yelingue bensthal@gmail.com 1 Wenddabo Olivier Sawadogo 1 Youssouf Pare 1 Blaise Some 1 Laboratoire d'Analyse Num¨¦rique d'Informatique et de BIOmathematique, Universite de Ouaga 1, Joseph KI Zerbo, 03 BP 7021 Ouagadougou 03, Burkina Faso In this paper, the SBA algorithm are used to solve and simulate the exact solution of 2D Richard¡¯s Modified Equation at plan flow under Cauchy Von-Neumann condition¡¯s type using the same linearization technical to [1] where all scaling parameters of the initial model have been taken into account. http://pubs.sciepub.com/ajna/6/1/1/ajna-6-1-1.pdf Richards¡¯ equation analytical solution Cauchy Von-Neumann condition¡¯s SBA algorithm unsaturated zone