SLIPM - MAPLE Programm for Numerical Solution of Sturm-Liouville Partial Problem with the Help of the Continuous Analogue of Newtons Method

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Abstract


A computer program SLIPM (Sturm-Liouville Problem in MAPLE) has been designed in the language of computer algebras MAPLE. It is intended for the numerical solution of Sturm-Liouville partial problem with the help of the continuous analogue of Newtons method, i.e., for calculating the eigenvalue of a linear second-order differential operator and a corresponding eigenfunction satisfying homogeneous boundary conditions. SLIPM is the development of the computer codes SLIP1 and SLIPH4 written in the Fortran language; it is added by a new procedure of calculating an initial approach to the solution and by new ways of calculating the initial value of the iterative parameter τ0.

About the authors

I V Puzynin

Joint Institute for Nuclear Research

Email: ipuzynin@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

T P Puzynina

Joint Institute for Nuclear Research

Email: puzynina@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

V T Thach

Joint Institute for Nuclear Research

Email: votrongthach@jinr.ru
Лаборатория информационных технологий; Объединённый институт ядерных исследований; Joint Institute for Nuclear Research

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Copyright (c) 2010 Пузынин И.В., Пузынина Т.П., Тхак В.Ч.

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