Alternating group explicit method with exponential-type for the diffusion–convection equation

DOI10.1080/00207160601084463zbMath1114.65100OpenAlexW2140248623MaRDI QIDQ3427668

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Publication date: 23 March 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160601084463

zbMATH Keywords

stabilitynumerical examplesparallel computationdiffusion-convection equationalternating group explicit methodsemi-explicit asymmetric exponential schemes

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Parallel numerical computation (65Y05) Initial value problems for second-order parabolic equations (35K15)

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Computational study of the convection-diffusion equation using new cubic B-spline approximations ⋮ High-order compact solution of the one-dimensional heat and advection-diffusion equations ⋮ A high-order exponential scheme for solving 1D unsteady convection-diffusion equations ⋮ Novel cubic trigonometric B-spline approach based on the Hermite formula for solving the convection-diffusion equation ⋮ A computational study of three numerical methods for some advection-diffusion problems ⋮ Numerical solution of unsteady advection dispersion equation arising in contaminant transport through porous media using neural networks ⋮ A fourth-order method of the convection-diffusion equations with Neumann boundary conditions ⋮ Localized boundary-domain integro-partial differential formulations for transient scalar transport problems

Cites Work

• The group explicit method for the solution of Burger's equation
• Alternating group explicit method for the diffusion equation
• Group explicit methods for parabolic equations
• A new explicit method for the solution of
• The numerical solution of burgers' equation by the alternating group explicit (age) method
• The alternating group explicit (age) iterative method for solving parabolic equations i: 2-dimensional problems
• The alternating group explicit (age) iterative method for solving parabolic equations II: 3 space dimensional problems

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