Numerical Solution of Nonlinear Parabolic Equations with Axial SymmetryEötvös Loránd Tudományegyetem Természettudományi Kara, Numerikus és Gépi Matematikai Tanszék, 1978 - Differential equations, Parabolic - 19 pages |
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absolute convergent accuracy of h alternate direction method approximate the equation assumptions AXIAL SYMMETRY b₁ boundary conditions boundary value problem Clearly components consistency correspond defined depend difference scheme differential operators distance dividing E+ TAK-1 easily easy ELTE equation 11 equation decomposes estimations 18 Êx 2x Ex XX Êx Yx Ex(xx examine the conditions existence explicit form express factorization method Felelős FINITE DIFFERENCE EQUATION finite-difference scheme formula fulfilled functions gence grid points guarantee h₂ inequality initial introduce inverse operators investigation iterative process Let us denote Let us examine LIBRARIES linear Lipschitz condition MATH max max MICHIGAN norm on layer obviously omit operator of 9 paper proof propositions remark restrict result rewrite the equation right side satisfied solution Solving stability sufficient Suppose system of equations tion valid vector equations WEAKLY NONLINEAR PARABOLIC write