Solution of Linear Differential Equations by the Method of Divided Differences

✍ Scribed by L. Verdestar

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 615 KB
• Volume: 16
• Category: Article
• ISSN: 0196-8858
• DOI: 10.1006/aama.1995.1023

✦ Synopsis

We introduce a new method for the solution of linear differential equations with constant coefficients. The solutions are obtained by the application of a divided differences functional to a kernel function in two variables. For homogeneous equations the kernel is the product of a polynomial, which determines the initial values by (\exp (x t)). For the inhomogeneous case the kernel is the convolution of the forcing function with (\exp (x t)). If the forcing function is a quasi-polynomial then there is no need to compute convolutions. The method can also be applied to systems of equations and matrix differential equations. e: 1995 Academic Press. Inc.