APPROXIMATE SOLUTION OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS BY MEANS OF A NEW RATIONAL CHEBYSHEV COLLOCATION METHOD

作者：Yalcinbas Salih^*; Ozsoy Nesrin; Sezer Mehmet

来源：Mathematical and Computational Applications, 2010, 15(1): 45-56.

DOI：10.3390/mca15010045

• Rational Chebyshev Functions
• Higher-order Ordinary Differential Equations
• Taylor and Chebyshev Collocation Methods

In this paper, a new approximate method for solving higher-order linear ordinary differential equations with variable coefficients under the mixed conditions is presented. The method is based on the rational Chebyshev (RC) Tau, Chebyshev and Taylor collocation methods. The solution is obtained in terms of rational Chebyshev (RC) functions. Also, illustrative examples are given to demonstrate the validity and applicability of the method.

• 出版日期2010-4