A Collocation Method to Solve Higher Order Linear Complex Differential Equations in Rectangular Domains

作者：Sezer Mehmet^*; Yalcinbas Salih

来源：Numerical Methods for Partial Differential Equations, 2010, 26(3): 596-611.

DOI：10.1002/num.20448

• approximate solution
• collocation method
• collocation points
• complex differential equations
• Taylor polynomials and series

In this article, a collocation method is developed to find an approximate solution of higher order linear complex differential equations with variable coefficients in rectangular domains. This method is essentially based on the matrix representations of the truncated Taylor series of the expressions in equation and their derivates, which consist of collocation points defined in the given domain. Some numerical examples with initial and boundary conditions are given to show the properties of the method. All results were computed using a program written in scientific Work Place v5.5 and Maple v12.

• 出版日期2010-5