An approximate analytical solution of non linear partial differential equation for water infiltration in unsaturated soils by combined Elzaki Transform and Adomian Decomposition Method
Archana Varsoliwala, Tejaswi Singh
Abstract
Abstract The aim of the concerned paper is to describe the behaviour of the water infiltration problems in unsaturated soils. Governing equation of this phenomenon is known as Richards’ equation. The solution of the Richards’ equation has been found by Elzaki Adomian Decomposition Method. This method gives a solution in terms of convergent series. Comparison of the approximate solutions and exact solutions have been found here. MATLAB and MATHEMATICA are used to obtain numerical and graphical representation.
Topics & Concepts
Adomian decomposition methodRichards equationMathematicsInfiltration (HVAC)Partial differential equationApplied mathematicsDifferential equationDecomposition method (queueing theory)MATLABDecompositionExact solutions in general relativityMathematical analysisConvergent seriesSoil waterComputer scienceThermodynamicsSoil sciencePhysicsPower seriesGeologyStatisticsChemistryOrganic chemistryOperating systemFractional Differential Equations SolutionsNumerical methods in engineeringSoil and Unsaturated Flow