Solving of nonlinear equations which arise in collocation method

• Autorzy: Iwona Pilipczuk
• Języki publikacji: EN

Abstrakty

EN

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).

PL

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Słowa kluczowe

EN

Spectral, collocation and related methods; Ill-posed problems

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 1986
• Tom: 14
• Numer: 27

Daty

wydano

1986

online

2016-10-25

Twórcy

autor

Iwona Pilipczuk

Identyfikatory

DOI

10.14708/ma.v14i27.1665