The n-dimensional Fourier equation with the Robin's boundary condition using the finite difference method

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

Abstrakty

EN

The article is a continuation of the considerations on the three-dimensional Fourier equation supplemented by the third boundary condition (the Robin’s condition). The paper is based on the Finite Difference Method.

Słowa kluczowe

EN

block matrices; determinant; Fourier equation; boundary condition

PL

macierze blokowe; determinanta; równanie Fouriera; warunek brzegowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 3
• Strony: 13--20
• Opis fizyczny: Bibliogr. 5 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 band matrices based on the n-dimensional Fourier equation. Part 1, Journal of Applied Mathematics and Computational Mechanics 2013, 3(12), 5-13.
• [2] Mochnacki B., Suchy J.S., Modelowanie i symulacja krzepnięcia odlewów, WN PWN, Warszawa 1993.
• [3] Biernat G., Lara-Dziembek S., Pawlak E., The Finite Difference Method in the 2D Fourier equation with Robin’s boundary condition, Journal of Applied Mathematics and Computational Mechanics 2013, 4(12), 5-12.
• [4] Biernat G., Lara-Dziembek S., Pawlak E., The 3D Fourier equation with the Robin’s boundary condition using the Finite Difference Method, Journal of Applied Mathematics and Computational Mechanics 2014, 1(13), 5-12.
• [5] 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.