Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions

0370532 - MÚ 2012 RIV US eng J - Journal Article
Rontó, András - Rontó, M. - Holubová, G. - Nečesal, P.
Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions.
Boundary Value Problems. -, - (2011), s. 58. ISSN 1687-2770. E-ISSN 1687-2770
Institutional research plan: CEZ:AV0Z10190503
Keywords : nonlinear boundary value problem * numerical-analytic method * Chebyshev interpolation polynomials
Subject RIV: BA - General Mathematics
Impact factor: 0.911, year: 2011
http://www.boundaryvalueproblems.com/content/2011/1/58/abstract

The article deals with approximate solutions of a nonlinear ordinary di®erential equation with homogeneous Dirich- let boundary conditions. We provide a scheme of numerical-analytic method based upon successive approximations constructed in analytic form. We give su±cient conditions for the solvability of the problem and prove the uni- form convergence of the approximations to the parameterized limit function. We provide a justi¯cation of the polynomial version of the method with several illustrating examples.
Permanent Link: http://hdl.handle.net/11104/0204317