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Original Articles

A practical chebyshev collocation method for differential equations

Pages 59-79 | Published online: 21 Dec 2010

References

  • Clenshaw , C. W. 1957 . Numerical solution of linear differential equations in Chebyshev series . Proc. Comb. Phil. Soc. , 53 : 134 – 149 .
  • Collatz , L. 1959 . Numerical treatment of differential equations , 358 Vol. 326 , Berlin : Springer-Verlag . Gottmgen, Heidelberg
  • Elliott , D. 1961 . A method for the Numerical integration of the one-dimensional head equation using Chebyshev series . Proc. Comb, Phil. Soc. , 57 : 823 – 832 .
  • Fox , L. and Parker , I. B. 1968 . Chebyshev Polynomials in Numerical Analysis , 95 – 154 . London : O.U.P .
  • Fox , L. 1957 . The numerical solution of two-point boundary problems in ordinary differential equations , 86 O.U.P .
  • Henrici , P. 1964 . Elements of numerical analysis , 133 – 135 . New York : John Wiley and Son Inc. . London
  • Kalaba , R. 1959 . On non-linear differential equations. The maximum operator and monotone convergence . J. Math. Mech. , 8 : 519
  • Lanczos , C. 1938 . Trigonometrical interpolation of empirical and analytic functions . J.Math.Phys. , 17 : 123 – 199 .
  • Mason , J. 1966 . “ Chebyshev polynomial approximations for the L-membrane eigenvalue problem ” . In The Institute of Fluid Dynamics and Applied Mathematics , University of Maryland . Technical Note BN-482
  • Norton , H. J. 1964 . The iterative solution of non-linear ordinary differential equations in Chebyshev series . Computer J. , 7 : 76 – 85 .
  • Todd , J. , ed. 1962 . Survey of Numerical Analysis , 138 – 139 . New York : McGraw-Hill . San Francisco
  • Szego , G. 1939 . Orthogonal polynomials . Am. Maths. Soc. Colloq. Pub. , 23
  • Wright , K. 1964 . Chebyshev collocation methods for ordinary differential equations . Computer J. , 6 : 358 – 363 .

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