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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 29, 1996 - Issue 1
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Original Articles

HYBRID PERTURBATI0IM-GALERK1N TECHNIQUE FOR NONLINEAR HEAT CONDUCTION PROBLEMS I: STEADY PROBLEMS

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Pages 61-73 | Received 26 Apr 1995, Accepted 25 Jul 1995, Published online: 23 Mar 2007

References

  • J. F. Geer and C. M. Andersen , A Hybrid Perturbation Galerkin Technique with Applications to Slender Body Theory , SIAM J. Appl. Math. , vol. 49 , pp. 344 – 361 , 1989 .
  • C. M. Andersen and J. F. Geer , Investigating a Hybrid Perturbation Galerkin Technique Using Computer Algebra , ICASE Rep. 88–65 (1988) , NASA Langley , Hampton , VA , and J. Symb. Comp. , vol. 12 , pp. 695 – 714 , 1991 .
  • J. F. Geer and C. M. Andersen , A Hybrid Perturbation Galerkin Technique for Differential Equations Containing a Parameter , Appl. Mech. Rev. , vol. 42 , no. 11 , pp. pS69–S77 p, 1989 .
  • J. F. Geer and C. M. Andersen , A Hybrid Perturbation-Galerkin Technique That Combines Multiple Expansions , SIAM J. Appl. Math. , vol. 50 , pp. 1474 – 1495 , 1990 .
  • J. F. Geer and C. M. Andersen , A Hybrid Perturbation Galerkin Technique for Partial Differential Equations , ICASE Rep. 90–57 (NASA-Langley) and Asymptotic Analysis and the Numerical Solution of Partial Differential Equations , Lect. Notes Pure Appl. Math. , vol. 130 , pp. 113 – 134 , Marcel Dekker , New York , 1991 .
  • J. F. Geer and C. M. Andersen , Resonant Frequency Calculations Using a Hybrid Perturbation Galerkin Technique , Appl. Mech. Rev. , vol. 44 , no. 11 , part 2 , pp. pS76–S88 p, 1991 .
  • J. F. Geer and M. B. Dadfar , Nonresonant Excitation of the Forced Duffing Equation , Proc. Int. Conf. Control and Modelling , Tehran , Iran , pp. 69 – 73 , 1990 .
  • A. K. Noor and C. D. Balch , Hybrid Perturbation/Bubnov-Galerkin Technique for Nonlinear Thermal Analysis , AIAA J. , vol. 22 , no. 2 , pp. 287 – 294 , 1984 .
  • M. Van Dyke , Analysis and Improvement of perturbation series , Quart. J. Mech. Appl. Math. , vol. 27 , pp. 423 – 450 , 1974 .
  • C. M. Andersen and J. F. Geer , Power Series Expansions for the Frequency and Period of the Limit Cycle of the Van der Pol Equation , SIAM J. Appl. Math. , vol. 42 , pp. 678 – 693 , 1982 .
  • M. B. Dadfar , J. F. Geer , and C. M. Andersen , Perturbation Analysis of the Limit Cycle of the Free Van der Pol Equation , SIAM J. Appl. Math. , vol. 44 , pp. 881 – 895 , 1984 .
  • H. S. Carslaw and J. C. Jaeger , Conduction of Heat in Solids , Oxford University Press , New York , 1959 .
  • S. Wolfram , Mathematica—A System for Doing Mathematics by Computer , Addison-Wes-ley , Redwood City , CA , 1988 .
  • A. Nayfeh , Perturbation Methods , John Wiley , New York , 1973 .

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