One-step methods for retarded differential equations with parameters

Computing ◽  
1990 ◽  
Vol 43 (4) ◽  
pp. 343-359
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
One Step ◽  
Retarded Differential Equations

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

2018 ◽  
Vol 1 (3) ◽  
pp. 30 ◽  
Author(s):  
Hussein ALKasasbeh ◽  
Irina Perfilieva ◽  
Muhammad Ahmad ◽  
Zainor Yahya
Keyword(s):  
Numerical Methods ◽  
Differential Equations ◽  
Trapezoidal Rule ◽  
Approximation Methods ◽  
System Of Differential Equations ◽  
Fuzzy Transform ◽  
Fuzzy Partition ◽  
Fuzzy Approximation ◽  
One Step ◽  
Basic Functions

In this research, three approximation methods are used in the new generalized uniform fuzzy partition to solve the system of differential equations (SODEs) based on fuzzy transform (FzT). New representations of basic functions are proposed based on the new types of a uniform fuzzy partition and a subnormal generating function. The main properties of a new uniform fuzzy partition are examined. Further, the simpler form of the fuzzy transform is given alongside some of its fundamental results. New theorems and lemmas are proved. In accordance with the three conventional numerical methods: Trapezoidal rule (one step) and Adams Moulton method (two and three step modifications), new iterative methods (NIM) based on the fuzzy transform are proposed. These new fuzzy approximation methods yield more accurate results in comparison with the above-mentioned conventional methods.

scholarly journals On One-Step Method of Euler-Maruyama Type for Solution of Stochastic Differential Equations Using Varying Stepsizes

OALib ◽  
2016 ◽  
Vol 03 (01) ◽  
pp. 1-15
Author(s):  
Sunday Jacob Kayode ◽  
Akeem Adebayo Ganiyu ◽  
Adegoke Sule Ajiboye
Keyword(s):  
Differential Equations ◽  
Stochastic Differential Equations ◽  
Step Method ◽  
One Step

scholarly journals Retarded differential equations with piecewise constant delays

1984 ◽  
Vol 99 (1) ◽  
pp. 265-297 ◽  
Author(s):  
Kenneth L Cooke ◽  
Joseph Wiener
Keyword(s):  
Differential Equations ◽  
Piecewise Constant ◽  
Retarded Differential Equations

scholarly journals Retarded differential equations

2000 ◽  
Vol 125 (1-2) ◽  
pp. 309-335 ◽  
Author(s):  
Christopher T.H. Baker
Keyword(s):  
Differential Equations ◽  
Retarded Differential Equations
Sign in / Sign up

Export Citation Format

Share Document