Hartley series approximations for the parabolic equations

Abstract

An approximate method for solving parabolic equations with a periodic boundary condition is proposed. The method is based upon using the Legendre series and the Hartley series to approximate the required solution. The parabolic equations are converted into a system of linear algebraic equations which can be solved for the unknown coefficients. A numerical example is included to demonstrate the validity and applicability of the method and a comparison is made with existing results.

Keywords:

• Hartley series
• Parabolic equations
• Periodic boundary condition
• Approximation

Acknowledgements

The work of the first author was supported by Iran Telecommunication Research Center.