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Original Articles

The numerical solution of parabolic partial differential equations by the method of integral operatorsFootnote

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Pages 229-239 | Published online: 19 Mar 2007

References

  • Bergman , S. and Herriot , J. G. 1965 . Numerical solution of boundary value problems by the method of integral operators . Numer.Math , 7 : 42 – 65 .
  • Colton , D. 1975 . Complete families of solutions for parabolic equations with analytic coefficients . SIAM J. Math. Anal , 6 : 937 – 947 .
  • Colton , D. 1976 . The approximation of solution to initial-boundary value problems for parabolic equations in one space variable . Quart. App. Math , 7 : 377 – 386 .
  • Gilbert , R. P. and Linz , P. 1974 . “ The numerical solution of some elliptic boundary value problems by integral operator methods ” . In in Constructive and Computational Methods for Solving Differential and Integral Equations , Vol. 430 , 297 – 252 . Berlin : Springer-Verlag Lecture Note Series .
  • Rosenbloom , P. C. and Widder , D. V. 1959 . Expansion in terms of heat polynomials and associated functions . Trans.. Amer. Math. Soc , 92 : 220 – 266 .

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