Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks
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Publication:521250
DOI10.1016/j.camwa.2016.06.014zbMath1359.76284OpenAlexW2467153400MaRDI QIDQ521250
Joong Hoon Kim, Neha Yadav, Anupam Yadav
Publication date: 7 April 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.06.014
Diffusion (76R50) Neural networks for/in biological studies, artificial life and related topics (92B20) Flows in porous media; filtration; seepage (76S05)
Related Items (4)
An efficient neural network method with plane wave activation functions for solving Helmholtz equation ⋮ Vieta-Lucas polynomials for solving a fractional-order mathematical physics model ⋮ A reliable numerical algorithm for fractional advection-dispersion equation arising in contaminant transport through porous media ⋮ Jacobi collocation method for the fractional advection‐dispersion equation arising in porous media
Cites Work
- Automated design parameter selection for neural networks solving coupled partial differential equations with discontinuities
- An exponential compact difference scheme for solving 2D steady magnetohydrodynamic (MHD) duct flow problems
- Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques
- Fourier collocation algorithm for identifying the spacewise-dependent source in the advection-diffusion equation from boundary data measurements
- A rational high-order compact ADI method for unsteady convection-diffusion equations
- A high-order exponential scheme for solving 1D unsteady convection-diffusion equations
- A computational study of three numerical methods for some advection-diffusion problems
- A numerical algorithm for the solution of an intermediate fractional advection dispersion equation
- High order difference schemes for unsteady one-dimensional diffusion- convection problems
- Weighted finite difference techniques for the one-dimensional advection-diffusion equation.
- Multilayer feedforward networks are universal approximators
- A uniformly convergent scheme on a nonuniform mesh for convection-diffusion parabolic problems
- High order ADI method for solving unsteady convection-diffusion problems
- A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations
- Multilayer perceptrons and radial basis function neural network methods for the solution of differential equations: a survey
- A fourth-order compact ADI method for solving two-dimensional unsteady convection--diffusion problems
- A high-order Padé ADI method for unsteady convection-diffusion equations
- Heat transfer to a draining film
- Alternating group explicit method with exponential-type for the diffusion–convection equation
- Numerical solutions for solute transport in unconfined aquifers
- A third-order semi-implicit finite difference method for solving the one-dimensional convection-diffusion equation
- Dispersion analysis in homogeneous lakes
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