Hybrid finite analytic solution (HFAS), Galerkin's method-based finite element solution (FES) and fully implicit finite difference solution (FIFDS) of one-dimensional (1D) nonlinear Boussinesq equation and analytical solution of Boussinesq equation linearized by Baumann's transformation (analytical solution I, AS1) as well as linearized by Werner's transformation as proposed by Upadhyaya and Chauhan (2001a) were employed to obtain water table rise in a horizontal unconfined aquifer lying between two canals located at finite distance having different elevations and subjected to various patterns of recharge, i.e. zero recharge, constant recharge, as well as time-varying recharge. Considering HFAS as benchmark solution, water table in the midregion as obtained from FES followed by FIFDS was observed quite close to that obtained from HFAS and as per L2 and Tchebycheff norms computation, it was ranked at first and second places, respectively. Both AS1 and AS2 predicted higher water table at t = 5 days and at t = 10 days. AS1 predicted lower, and AS2 predicted higher, water table at all distances due to the linearization effect. So, analytical solutions of linearized Boussinesq equation were rated lower than numerical solutions of nonlinear Boussinesq equation.

  • Two analytical solutions of linearized Boussinesq equation and three numerical solutions, i.e., fully implicit finite difference solution, finite element solution and hybrid finite analytic solutions (HFAS) of nonlinear Boussinesq equation, were developed.

  • L2 and Tchebycheff norms values showed that values from numerical solutions are quite close to HFAS compared to approximate analytical solutions.

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