The Use of the Collocation Method for Solving the Diffusion Equation under Two Mass Specifications

• Autorzy: Derkach S.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

In this paper the diffusion equation [formula] with the initial condition [formula] is considered.

Słowa kluczowe

EN

collocation method; diffusion equation

PL

metoda kolokacyjna; równanie dyfuzji

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 31--33
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Derkach S.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Uktainian National Academy of Sciences, Naukova 3b, 79063 Lviv, Ukraine

Bibliografia

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• [2] J .R. Cannon, The solution of the heat equation subject to the specification of energy, Quart. Appl. Math. 21, No. 2, 155-160, 1963.
• [3] W.A. Day, A decreasing property of solutions of parabolic equations with applications to thermoelasticity, Quart. Appl. Math. 40, No. 4, 468-475, 1983.
• [4] V. Capasso, K. Kunisch, A reacting-diffusion system arising in modelling man-environment diseases, Quart. Appl. Math. 46, No. 3, 431-450, 1988.
• [5] S. Wang, Y. Lin. A finite difference solution to an inverse problem determinig a control function in a aparabolic portial differential equation, Inverse Problems 5, 631-640, 1989.
• [6] C. Canuto, M.Y. Hussaini, A. Quarteroni, T.A. Zang, Spectral Methods in Fluid Dynamics. Springer-Verlag, Berlin, 1988.
• [7] Y.Z. Povstenko, Diffusion equation in a domain with expanding boundaries, Acta Universitatis Purkynianae 42, 33-38, 1999.
• [8] J. Povstenko, Application of Chebyshev collocation method to solving the heat equation, Prace Naukowe WSP w Częstochowie. Matematyka VIII, 57-66, 2000/2001.
• [9] Y.Z. Povstenko, S.B. Derkach, Spectral method for heat equation subject to energy specification, Proc. 2nd European Conference on Computational Mechanics. June 26-29, 2001. Cracow, Poland. Paper P36, p. 1-6, 2001.
• [10] Y. Povstenko, S. Derkach. The use of the collocation method for solving the heat equation under two integral conditions, International Conference on Functional Analysis and its Applications Dedicated to the 1l0th Anniversary of Stefan Banach, Lviv, Ukraine, 2002, Book of Abstracts, 161-162, 2002.