NUMERICAL SOLUTION OF A 2-D NONLINEAR BOUSSINESQ EQUATION
B. R. SONTAKKE *
Department of Mathematics, Pratishthan College, Paithan, Dist. Aurangabad 431 107 (M.S), India
G. L. ROKADE
Department of Mathematics, Deogiri Institute of Engineering and Management Studies, Aurangabad 431 005 (M.S), India
*Author to whom correspondence should be addressed.
Abstract
Recharging is the essential part of any groundwater resource development scheme. Water table variations largely depend on this process. In this paper, an approximate numerical solution has been developed to compute water table variations in response to constant rate of recharge and time varying recharge. Characteristic behaviours of the solution are illustrated with the help of a numerical example and solution is obtained by using finite difference method.
Keywords: Nonlinear Boussinesq equation, transient recharge, water table, constant recharge, numerical solution, finite difference method