A Chebyshev Series Approximation for Linear Second-Order Partial Differential Equations with Complicated Conditions

@inproceedings{Yuksel2014ACS,
title={A Chebyshev Series Approximation for Linear Second-Order Partial Differential Equations with Complicated Conditions},
author={Gamze Yuksel and Mehmet Sezer},
year={2014}
}

The purpose of this study is to present a new collocation method for the solution of second-order, linear partial differential equations (PDEs) under the most general conditions. The method has improved from Chebyshev matrix method, which has been given for solving of ordinary differential, integral and integro-differential equations. The method is based on the approximation by the truncated bivariate Chebyshev series. PDEs and conditions are transformed into the matrix equations, which… CONTINUE READING