TITLE:
Mean Square Heun’s Method Convergent for Solving Random Differential Initial Value Problems of First Order
AUTHORS:
M. A. Sohaly
KEYWORDS:
Stochastic Partial Differential Equations, Mean Square Sense, Second Order Random Variable,
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.4 No.5,
December
29,
2014
ABSTRACT: This paper deals with the construction of Heun’s method of random initial value problems. Sufficient conditions for their mean square convergence are established. Main statistical properties of the approximations processes are computed in several illustrative examples.