The finite difference method in the 2D Fourier equation with Robin’s boundary condition

• Autorzy: Biernat G. , Lara-Dziembek S. , Pawlak E.
• Języki publikacji: EN

Abstrakty

EN

This paper contains the application of the Finite Difference Method in the two-dimensional Fourier equation using Robin’s boundary condition (the third boundary condition).

Słowa kluczowe

EN

block matrices; n-band matrices; determinant; Fourier equation; boundary condition

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 4
• Strony: 5--11
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Biernat G.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Lara-Dziembek S.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Pawlak E.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

Bibliografia

• [1] Biernat G., Lara-Dziembek S., Pawlak E., The determinants of the block matrices in the 3D Fourier equation, Scientific Research of the Institute of Mathematics and Computer Science 2012, 4(11), 5-10.
• [2] Mochnacki B., Suchy J.S., Modelowanie i symulacja krzepnięcia odlewów, WN PWN, Warszawa 1993.
• [3] Biernat G., Siedlecka U., Finite difference method in Fourier equation internal case-direct formulas, Scientific Research of the Institute of Mathematics and Computer Science 2011, 2(10), 11-16.
• [4] Biernat G., Mazur J., Finite difference method in the Fourier equation with Newton’s boundary conditions direct formulas, Scientific Research of the Institute of Mathematics and Computer Science 2008, 2(7), 123-128.