This paper presents a method for constructing polynomial approximations of the solutions of nonlinear initial value systems of differential equations. Given an a priori chosen accuracy, the degree of the vector polynomial ...
Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Company Rossi, Rafael; Villafuerte Altuzar, Laura(Elsevier, 2011-12)
This paper deals with the construction of approximate solutions of a random logistic differential equation whose nonlinear coefficient is assumed to be an analytic stochastic process and the initial condition is a random ...
Calbo Sanjuán, Gema; Cortés López, Juan Carlos; Jódar Sánchez, Lucas Antonio; Villafuerte Altuzar, Laura(Elsevier, 2011-05)
In this paper we construct, by means of random power series, the solution of second order linear differential equations of Legendre-type containing uncertainty through its coefficients and initial conditions. By assuming ...