Recent developments in stability and error analysis of numerical methods for ordinary differential equations

1983 ◽  
pp. 420-431
Author(s):  
Werner Liniger
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Error Analysis ◽  
Ordinary Differential Equations ◽  
Recent Developments ◽  
Stability And Error Analysis

scholarly journals New Approximation Methods Based on Fuzzy Transform for Solving SODEs: I

2018 ◽  
Vol 1 (3) ◽  
pp. 29 ◽  
Author(s):  
Hussein ALKasasbeh ◽  
Irina Perfilieva ◽  
Muhammad Ahmad ◽  
Zainor Yahya
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Error Analysis ◽  
Ordinary Differential Equations ◽  
Approximation Methods ◽  
Numerical Schemes ◽  
Fuzzy Transform ◽  
Two Stage ◽  
Numerical Examples ◽  
One Stage

In this paper, new approximation methods for solving systems of ordinary differential equations (SODEs) by fuzzy transform (FzT) are introduced and discussed. In particular, we propose two modified numerical schemes to solve SODEs where the technique of FzT is combined with one-stage and two-stage numerical methods. Moreover, the error analysis of the new approximation methods is discussed. Finally, numerical examples of the proposed approach are confirmed, and applications are presented.

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.

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