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Homotopy Analysis Method Applied To Determine Pressure Head In Unsaturated Soil During Infiltration Phenomenon

Kajal K. Patel, M. N. Mehta, Twinkle R. Singh

The Homotopy analysis method has been applied to Richard's equation under considering the value of diffusivity coefficient Dï�?¨ï± ï�?© and hydraulic conductivity Kï�?¨ï± ï�?© under certain assumption. The solution of this equation has been obtained by considering the guess value of pressure head in an unsaturated soil. It is concluded that the pressure head in an unsaturated soil is decreasing as depth Z is increasing for given time T > 0. The graph and a numerical value are given by using Maple coding