In this paper, the general shifted Jacobi matrix method is applied to solve the generalized pantograph equations. Explicit formulae which express the Jacobi expansion coefficients for the shift of derivatives and moments of any differentiable function in terms of the original expansion coefficients of the function itself are given in the matrix form. The main importance of the approach is that using this scheme reduces solving the generalized pantograph equations to solve a system of linear algebraic equations, thus greatly simplifying the problem. Some experiments are given to demonstrate the validity and applicability of the method.
- General Jacobi matrix method
- Generalized pantograph equations