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Original Articles

An alternating direction generalized trapezoidal formula scheme for parabolic differential equations in two space dimensions

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Pages 611-628 | Received 15 Mar 2000, Published online: 19 Mar 2007

References

  • Chawla , M.M. and Al-Zanidai , M.A. 1996 . A class of generalized trapezoidal formulas for the numerical integration of . Intern. J. Computer Math , 62 : 131 – 142 .
  • Chawla , M.M. , Al-Zanaidi , M.A. and Evans , D.J. 1999 . Generalized trapezoidal formulas for parabolic equations . Intern. J. Computer Math , 70 : 429 – 443 .
  • Morton , K.W. and Mayers , D.F. 1994 . Numerical Solution of Partial Differential Equations , Cambridge : Cambridge Univ. Press .
  • Myint-U , T. and Debnath , L. 1987 . Partial Differential Equations for Scientists and Engineers , Englewood Cliffs , New Jersey : PTR Prentice-Hall .
  • Peaceman , D.W. and Rachford , H.H. Jr . 1955 . The numerical solution of parabolic and elliptic differential equations . J. Soc. Indus t. Appl Maths , 3 : 28 – 41 .
  • Thomas , J.W. 1995 . Numerical Partial Differential Equations: Finite Difference Methods , New York : Springer-Verlag .

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