Demkiv L. Accuracy estimates of difference schemes taking into account initial-boundary effect

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U003861

Thesis Registration Form

0406U003861.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

03-10-2006

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Accuracy estimates for linear and quasi-linear 1-D and 2-D parabolic type equations with Dirichlet conditions taking into account initial-boundary effect have been obtained. Besides, accuracy estimates for quasi linear elliptic equations with variable coefficients and mixed derivatives, ordinary differential equations with third kind boundary conditions taking into account initial-boundary effect have been investigated. Sufficient conditions which testify all a priori estimates which take into account initial-boundary effect in the case of Dirichlet conditions in the terms of smoothness of the input data have been obtained

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