The advection-diffusion-reaction equation: a numerical approach using a combination of approximation techniques

MaRDI QIDQ6657998

Amel Hioual, N. Arar, Zahra Laouar

Publication date: 7 January 2025

Published in: Nonlinear Dynamics and Systems Theory (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodRobin boundary conditionsCrank-Nicolson schemeLegendre polynomialsadvection-diffusion-reaction equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nonlinear dynamics in mechanics (70K99) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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• Spectral Methods
• Spectral Methods and Their Applications
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
• Spectral Methods
• Sur l'approximation spectrale
• Transport modeling in hydrogeochemical systems

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