Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations
The article deals with a method to handle integrated forms of linear ordinary differential equations. The application of this method leads to linear algebraic systems which can be solved by iterative methods. Algorithms are based on the theory of Chebyshev expansions and matrix operator expressions. The application is demonstrated by two examples. Furthermore, the method is extended to linear parabolic problems. Finally, the application to eigenvalue problems is explained by means of the Orr-Sommerfeld equation.
scientific article; zbMATH DE number 1022260