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A least squares method for solving initial-boundary value problems

Ryszard A. Walentynski
Organization: Silesia University of Technology, Poland
Department: Department of Building Structuresí Theory, Faculty of Civil Engineering
Journal / Anthology

Innovation in Mathematics: Proceedings of the Second International Mathematica Symposium
Year: 1997
Page range: 483-490

This paper presents the application of the refined least squares method. The 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.

*Applied Mathematics > Numerical Methods