Abstract
In the present paper, numerical solutions of consolidation equation in one dimension are compared with Finite Difference Methods (FDM) and Finite Element Method (FEM) to check the efficiency and accuracy of the methods with available analytical solution for specified initial and boundary conditions. Finite difference scheme is developed using explicit, implicit and Crank–Nicolson method. The numerical solution is also obtained using standard FEM with linear and quadratic interpolating functions. All the numerical solutions obtained by FDM and FEM are compared with available analytic solution. It is found that the numerical solutions of consolidation equations in one dimension obtained by FDM and FEM are in good agreement with the available analytical solution for the general boundary conditions.
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Gosiya, S.L., Palav, M.S., Pradhan, V.H. (2023). Comparison of Numerical Solution of Consolidation Equation in One Dimension by Finite Difference Methods and Finite Element Method with Analytical Solution. In: Sahni, M., Merigó, J.M., Hussain, W., León-Castro, E., Verma, R.K., Sahni, R. (eds) Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy. Advances in Intelligent Systems and Computing, vol 1440. Springer, Singapore. https://doi.org/10.1007/978-981-19-9906-2_12
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DOI: https://doi.org/10.1007/978-981-19-9906-2_12
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