ISSN:
0945-3245
Schlagwort(e):
AMS(MOS)
;
65 M 20
;
CR 5.17
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Summary By the so-called longitudinal method of lines the first boundary value problem for a parabolic differential equation is transformed into an initial value problem for a system of ordinary differential equations. In this paper, for a wide class of nonlinear parabolic differential equations the spatial derivatives occuring in the original problem are replaced by suitable differences such that monotonicity methods become applicable. A convergence theorem is proved. Special interest is devoted to the equationu t=f(x,t,u,u x,u xx), if the matrix of first order derivatives off(x,t,z,p,r) with respect tor may be estimated by a suitable Minkowski matrix.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01404875
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