A Bessel collocation method for numerical solution of generalized pantograph equations

作者：Yuzbasi Suayip; Sahin Niyazi^*; Sezer Mehmet

来源：Numerical Methods for Partial Differential Equations, 2012, 28(4): 1105-1123.

DOI：10.1002/num.20660

• Bessel matrix method
• Bessel polynomials and series
• collocation points
• Pantograph equations

This article is concerned with a generalization of a functional differential equation known as the pantograph equation which contains a linear functional argument. In this article, we introduce a collocation method based on the Bessel polynomials for the approximate solution of the pantograph equations. The method is illustrated by studying the initial value problems. The results obtained are compared by the known results.

• 出版日期2012-7