Numerical solution of one-dimensional finite solute transport system with first type source boundary condition

DOI10.1007/s40819-016-0280-6zbMath1397.76102OpenAlexW2561701868MaRDI QIDQ1792175

Manish Chopra, Shubham Jaiswal, Seng Huat Ong, Subir Das

Publication date: 11 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0280-6

zbMATH Keywords

conservative systemChebyshev collocation methodnon-conservative systemadvection-dispersion equationground water flowshifted Chebyshev polynomial

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• Matlab

Cites Work

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• The application of the Chebyshev-spectral method in transport phenomena
• Chebyshev polynomials of the second, third and fourth kinds in approximation, indefinite integration, and integral transforms
• One-dimensional linear advection-diffusion equation: analytical and finite element solutions
• Spectral Methods in MATLAB
• A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

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