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Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions. (English) Zbl 0475.65078


MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
65Z05 Applications to the sciences
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35C15 Integral representations of solutions to PDEs
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References:

[1] Brebbia, C.A.; Walker, S., Boundary element techniques in engineering, (1980), Newnes-Butterworths Tampa, Florida, USA · Zbl 0444.73065
[2] ()
[3] Ozisik, M.N., Boundary value problem of heat conduction, (1968), International Textbook London
[4] Akkuratov, Yu.N.; Mikhailov, V.N., Z. vycisl. mat. i mat. fiz., 20, 3, 656, (1980), (in Russian)
[5] Bialecki, R.; Nowak, A.J., Boundary element method for nonlinear material problems, (), (in Polish) · Zbl 0843.76053
[6] Zienkiewicz, O.C., The finite element method, (1977), McGraw-Hill Scranton · Zbl 0435.73072
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