Two Dimensional Chebyshev Finite Difference Approximation for Solving Linear and Nonlinear Partied Differential Equations

Jean-Pierre D

Published on: 2021-02-05


In this paper, a numerical technique is present for solving linear and nonlinear ordinary and partied differential equations, this technique is based on one- and two-dimensional Chebyshev polynomial of first kind. The application of the method to boundary value problems leads to algebraic systems. The method permits the application of iterative method in order to solve the algebraic systems. The effective application of the method is demonstrated by three examples.


Chebyshev polynomial; Nonlinear differential equations; Differentiation matrix