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International Journal of Computer Mathematics Volume 51, 1994 - Issue 1-2
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Original Articles

Pure alternating block explicit-implicit method for the diffusion equation in two space dimensions

Han Zhen Academia Sinica Computing Center, P.O. Box 2719, Beijing, 100080, China
,
Fu Hongyuan Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China
&
Shen Longjun Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, China
Pages 81-93 | Published online: 19 Mar 2007

References

  • Abdullah , A. R. and Evans , D. J. 1987 . Fast Group Explicit Algorithm for Diffusion Problems . Intern. J. Computer Math , 20 : 181 – 197 .
  • Evans , D. J. 1985 . Alternating Group Explicit Method for Diffusion Equation . Appl. Math. Modelling , 9 : 201 – 206 .
  • Evans , D. J. and Abdullah , A. R. 1903 . A New Explicit Method for the solution of ∂u/∂t = ∂2 u/ ∂x 2 + δ2 u/δy 2 . Intern. J. Computer Math. , 14 : 325 – 353 .
  • Evans , D. J. and Roomi , A. S. 1990 . The Solution of Parabolic Differential Equations by the AGE Method with D'yakonov Splitting . Intern. J. Computer Math. , 32 : 181 – 191 .
  • Evans , D. J. and Sahimi , M. S. 1988 . The Alternating Group Explicit (AGE) Iterative Method for Solving Parabolic Equations I: 2-Dimensional Problems . Intern. J. Computer Math. , 24 : 311 – 341 .
  • Evans , D. J. and Sahimi , M. S. 1989 . The Alternating Group Explicit (AGE) Iterative Method for Solving Parabolic Equations II: 3-Dimensional Problems . Intern. J. Computer Math. , 26 : 117 – 142 .
  • Gane , C. R. and Gourlay , A. R. 1977 . Block Hopscotch Procedures for Second Order Parabolic Difference Equations . J. Inst. Maths. Applics. , 19 : 205 – 216 .
  • Gourlay , A. R. 1970 . Hopscotch: a Fast Second-Order Partial Differential Equation Solver . J. Inst. Maths. Applics. , 6 : 375 – 390 .
  • Gourlay , A. R. and Mc Guire , G. R. 1971 . General Hopscotch Algorithm for the Numerical Solution of Partial Differential Equations . J. Inst. Maths. Applies. , 7 : 216 – 227 .
  • Han Zhen Economical Difference Methods and Parallel Algorithms for Parabolic Partial Differential Equations (Systems) IAPCM Beijing, China 1992 Ph.D. thesis (in Chinese
  • Zhen , Han , Hongyuan , Fu and Longjun , Shen . Pure Alternating Segment Explicit-Implicit Method for the Diffusion Equations . Intern. J. Computer Math. , (submitted)
  • Baolin , Zhang and Xiumin , Su . 1991 . Alternating Block Explicit-Implicit Method for the Two Dimensional Diffusion Equation . Intern. J. Computer Math. , 38 : 241 – 255 .
  • Yulin , Zhou . Application of Discrete Functional Analysis to the Finite Difference Method , Beijing : International Academic Publisher .

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