Litynskyy S. Numerical solving of initial-boundary value problems for the wave equation by the use of the Laguerre transform and boundary integral equations.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0417U003373

Thesis Registration Form

0417U003373.pdf

Applicant for

Specialization

  • 01.01.07 - Обчислювальна математика

30-06-2017

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

Constructed expansion in form of Fourier-Laguerre series for generalized solutions of initial-boundary value problems with Dirichlet and Neumann conditions for the wave equation with homogeneous initial conditions expansion. Obtained requirements on function in boundary condition that guarantee convergence of solutions in appropriate weighed Sobolev spaces. Established asymptotic error estimates of numerical solutions. Derived fast BEM, based on adaptive cross approximation of algebraic syste. Shown effectiveness of developed methods based on series of numerical experiments.

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