Conservative Finite Difference Schemes to a Nonlinear Parabolic System of Cancer Invasion

2011 ◽  
Author(s):  
Mikhail K. Kolev ◽  
Lubin G. Vulkov ◽  
George Venkov ◽  
Ralitza Kovacheva ◽  
Vesela Pasheva
Keyword(s):  
Finite Difference ◽  
Parabolic System ◽  
Cancer Invasion ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Nonlinear Parabolic System ◽  
Nonlinear Parabolic

FINITE DIFFERENCE SCHEMES FOR A CERTAIN NONLINEAR PARABOLIC SYSTEM

2006 ◽  
Vol 16 (05) ◽  
pp. 679-699
Author(s):  
HOMARE MORIOKA ◽  
ATUSI TANI
Keyword(s):  
Weak Solution ◽  
Finite Difference ◽  
Artificial Viscosity ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Nonlinear Parabolic System ◽  
Initial Value ◽  
Existence Of A Solution ◽  
Nonlinear Parabolic ◽  
The Difference

This paper is devoted to study the global existence of a solution of bounded variation to the initial value problem for a system of conservation laws with artificial viscosity. The method of finite difference schemes of implicit type is used. We prove that the difference approximations converge to a weak solution of the problem. Moreover, this weak solution is really a classical solution according to the Oleĭnik's argument.

scholarly journals Conservative finite difference schemes for the modified Camassa-Holm equation

JSIAM Letters ◽  
2011 ◽  
Vol 3 (0) ◽  
pp. 37-40 ◽  
Author(s):  
Yuto Miyatake ◽  
Takayasu Matsuo ◽  
Daisuke Furihata
Keyword(s):  
Finite Difference ◽  
Difference Schemes ◽  
Finite Difference Schemes ◽  
Holm Equation
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