Approximate Analytical Solution of Non-Linear Boussinesq Equation for the Unsteady Ground Water Flow in an Unconfined Aquifer by Homotopy Perturbation Transform Method
Applied Mathematics and Sciences: An International Journal (MathSJ) - H-Index - 9 ISSN: 2349 - 6223 http://airccse.com/mathsj/index.html Approximate Analytical Solution of Non-Linear Boussinesq Equation for the Unsteady Ground Water Flow in an Unconfined Aquifer by Homotopy Perturbation Transform Method Deepti Mishra, Vikas Pradhan and Manoj Mehta LDRP Institute of Technology & Research , Ganddhinagar, India Department of Applied Mathematics & Humanities, S.V.N.I.T, Surat 395007, India Abstract For one dimensional homogeneous, isotropic aquifer, without accretion the governing Boussinesq equation under Dupuit assumptions is a nonlinear partial differential equation. In the present paper approximate analytical solution of nonlinear Boussinesq equation is obtained using Homotopy perturbation transform method(HPTM). The solution is compared with the exact solution. The comparison shows that the HPTM is efficient, accurate and reliable. The analysis of two important aquifer pa...
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