Paper
The General Shifted Jacobi Matrix Method for Solving the General High Order Linear Differential-Difference Equations with Variable Coefficients
- Authors:
- Z. Kalateh Bojdi; S. Ahmadi-Asl; A. Aminataei
- Abstract
- In this manuscript, we deal with a spectral method for the numerical approximation of boundary value problems associated with a high order linear differential-difference equation with polynomial coefficients. The basic idea is to reduce the analysis of the problem to the solution of a system of linear equations satisfied by the coefficients of the Jacobi projection. This is the main result stated and proved. Further, several numerical experiments are analyzed in order to illustrate this approach. In addition, the basic tool of the manuscript is the description of an operational matrix approach to the shift, the derivative, and the linearization formula for Jacobi polynomials.
- Keywords
- General Jacobi Matrix Method, Differential-Difference Equations, Coefficients of the Jacobi Projection, Polynomial Coefficients
- StartPage
- 10
- EndPage
- 23
- Doi