Solving of nonlinear equations which arise in collocation method

Iwona Pilipczuk

Mathematica Applicanda (1986)

  • Volume: 14, Issue: 27
  • ISSN: 1730-2668

Abstract

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The paper concerns a Dirichlet problem for the equation - A.u + F(x,y,u,ux,Uy) = 0'on a rectangle. An iteration process for solving a nonlinear system of algebraic equations which arise in collocation method is considered. A convergence and an error estimate are obtained. Numerical results are presented for equations with F=cu+eu+f(x,y).

How to cite

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Iwona Pilipczuk. "Solving of nonlinear equations which arise in collocation method." Mathematica Applicanda 14.27 (1986): null. <http://eudml.org/doc/293351>.

@article{IwonaPilipczuk1986,
abstract = {The paper concerns a Dirichlet problem for the equation - A.u + F(x,y,u,ux,Uy) = 0'on a rectangle. An iteration process for solving a nonlinear system of algebraic equations which arise in collocation method is considered. A convergence and an error estimate are obtained. Numerical results are presented for equations with F=cu+eu+f(x,y).},
author = {Iwona Pilipczuk},
journal = {Mathematica Applicanda},
keywords = {Spectral, collocation and related methods; Ill-posed problems},
language = {eng},
number = {27},
pages = {null},
title = {Solving of nonlinear equations which arise in collocation method},
url = {http://eudml.org/doc/293351},
volume = {14},
year = {1986},
}

TY - JOUR
AU - Iwona Pilipczuk
TI - Solving of nonlinear equations which arise in collocation method
JO - Mathematica Applicanda
PY - 1986
VL - 14
IS - 27
SP - null
AB - The paper concerns a Dirichlet problem for the equation - A.u + F(x,y,u,ux,Uy) = 0'on a rectangle. An iteration process for solving a nonlinear system of algebraic equations which arise in collocation method is considered. A convergence and an error estimate are obtained. Numerical results are presented for equations with F=cu+eu+f(x,y).
LA - eng
KW - Spectral, collocation and related methods; Ill-posed problems
UR - http://eudml.org/doc/293351
ER -

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