An algorithm for symbolic solving of differential equations and estimation of accuracy

Abstract

An algorithm for solving systems of differential equations based on Laplace transform method is presented. There are considered ordinary linear differential equations with constant coefficients, nonzero initial conditions and right-hand sides as composite functions reducible to sums of exponents with polynomial coefficients. An algorithm to compute an error of calculations sufficient to obtain a preassigned accuracy of solution of linear differential equations system is included. © 2009 Springer Berlin Heidelberg.