On the numerical solution of differential-algebraic equations (DAEs) by Laguerre Polynomials approximation

Abstract

In this study, we investigate numerical solution of differential-algebraic equations (DAEs) using the Laguerre polynomials approximation. Two different problems are solved using the Laguerre polynomials approximation and the solutions are compared with the exact solutions. Firstly, we calculate the power series of a given equation system and then transform it into Laguerre polynomials approximation form, which gives an arbitrary order for solving the DAE numerically. Moreover, a Maple algorithm is developed for numerical solution of differential-algebraic equations (DAEs) with Laguerre polynomials approximation. In Maple Programming, we sketch graphs of obtained solutions, and are made tables to compare the solutions.