Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation

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References

[1] Celia, M.A., Russell, T.F., Herrera, I. and Ewing, R.E. (1990) An Eulerian-Langrangian Localized Adjoint Method for the Advection-Diffusion Equation. Advances in Water Resources, 13, 187-206.

http://dx.doi.org/10.1016/0309-1708(90)90041-2

[2] Dehgan, M. (2004) Weighted Finite Difference Techniques for the One-Dimensional Advection Diffusion Equation. Applied Mathematics and Computation, 147, 307-319.

http://dx.doi.org/10.1016/0309-1708(90)90041-2

[3] Evans, D.J. and Sahimi, M.S. (1988) The Alternating Group Explicit (AGE) Iterative Method for Solving Parabolic Equations. I: Two-Dimensional Problems. International Journal of Computer Mathematics, 24, 311-341.

http://dx.doi.org/10.1080/00207168808803651

[4] Evans, D.J. and Sahimi, M.S. (1989) The Alternating Group Explicit (AGE) Iterative Method to Solve Parabolic and Hyperbolic Partial Differential Equations. Annual Review of Numerical Fluid Mechanics and Heat Transfer, 2, 283-389.

http://dx.doi.org/10.1615/AnnualRevHeatTransfer.v2.100

[5] Evans, D.J. and Sahimi, M.S. (1990) The Solution of Nonlinear Parabolic Partial Differential Equations by the Alternating Group Explicit (AGE) Method. Computer Methods in Applied Mechanics and Engineering, 84, 15-42.

http://dx.doi.org/10.1016/0045-7825(90)90087-3

[6] Evans, D.J. and Sahimi, M.S. (1992) The AGE Solution of the Bi-Harmonic Equation for the Deflection of Uniformly Loaded Square Plate. Report 748, Department of Computer Studies, Loughborough University, Loughborough.

[7] Sahimi, M.S. and Evans, D.J. (1994) The Numerical Solution of a Coupled System of Elliptic Equations Using the AGE Fractional Scheme. International Journal of Computer Mathematics, 50, 65-87.

http://dx.doi.org/10.1080/00207169408804243

[8] Saul. yev V K. (1998) Integration of Techniques for Fluid Dynamics. Springer-Verlag, Berlin.

[9] Kellog, G.R.B. (1964) An Alternating Direction Method for Operator Equations. SIAM Journal on Numerical Analysis, 12, 848-854.

http://dx.doi.org/10.1137/0112072

[10] Wang, W.Q. (2002) A Class Alternating Segment Method for Solving Convection-Diffusion Equation. Numerical Mathematics, A Journal of Chinese Universities, 4, 289-297.