Stability of Numerical Methods for Volterra Integro-Differential Equations of Convolution Type

1988 ◽  
Vol 68 (2) ◽  
pp. 89-100 ◽  
Author(s):  
V. L. Bakke ◽  
Z. Jackiewicz
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Convolution Type

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

Numerical methods for differential algebraic equations

Acta Numerica ◽  
1992 ◽  
Vol 1 ◽  
pp. 141-198 ◽  
Author(s):  
Roswitha März
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Differential Algebraic Equations ◽  
Algebraic Equations ◽  
Image Position

Differential algebraic equations (DAE) are special implicit ordinary differential equations (ODE)where the partial Jacobian f′y(y, x, t) is singular for all values of its arguments.

Numerical methods for a class of nonlinear integro-differential equations

CALCOLO ◽  
2012 ◽  
Vol 50 (1) ◽  
pp. 17-33 ◽  
Author(s):  
R. Glowinski ◽  
L. Shiau ◽  
M. Sheppard
Keyword(s):  
Numerical Methods ◽  
Differential Equations
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