APPROXIMATE METHODS OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS

1965 ◽  
pp. 272-431
Author(s):  
I.S. BEREZIN ◽  
N.P. ZHIDKOV
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Approximate Methods

Approximate solution of random ordinary differential equations

1978 ◽  
Vol 10 (1) ◽  
pp. 172-184 ◽  
Author(s):  
William E. Boyce
Keyword(s):  
Approximate Solution ◽  
Numerical Methods ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Approximate Methods ◽  
Expository Paper

This is a largely expository paper on approximate methods of solving random ordinary differential equations, with an emphasis on direct numerical methods. Two methods are discussed in some detail and several others are mentioned briefly.

A Minimum-Maximum Problem for Differential Expressions

1957 ◽  
Vol 9 ◽  
pp. 132-140 ◽  
Author(s):  
D. S. Carter
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Initial Condition ◽  
Approximate Methods ◽  
First Order ◽  
Maximum Problem ◽  
Image Position

In the study of approximate methods for solving ordinary differential equations, an interesting question arises. To state it roughly for a single first order expression, let y0(t) be the solution of the equation(1.1)which satisfies the initial condition y(a) = na. Let nb be an approximation to the value of y0 at a later time, t = b.

Approximate solution of random ordinary differential equations

1978 ◽  
Vol 10 (01) ◽  
pp. 172-184 ◽  
Author(s):  
William E. Boyce
Keyword(s):  
Approximate Solution ◽  
Numerical Methods ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Approximate Methods ◽  
Expository Paper

This is a largely expository paper on approximate methods of solving random ordinary differential equations, with an emphasis on direct numerical methods. Two methods are discussed in some detail and several others are mentioned briefly.

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