Author(s): R.A. Walentyriski
This paper presents the application of the refined least squares method.
refinement makes it possible to solve problems with not only boundary, but
also initial and non-continuous conditions.
Mathematica is used to develop
algorithms and carry out computations.
It enables us to extend fields of
approximate analytical method applications and allow them to be regarded
as computer ones.
Mathematica makes it possible to solve unstable and
ill-conditioned tasks which are too difficult for numerical methods.
The problem of approximate solution of boundary value problems with Ma-
thematica was already considered by Barrere & Carmasol [1, 2].
plied the Galerkin method.
The least squares method is a well known method in mathematics.
is used to approximate data sets or functions with other functions or to
Size: 909 kb
Paper DOI: 10.2495/IMS970621
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