Boubaker Polynomial Approach for Solving High-Order Linear Differential-Difference Equations

摘要

A numerical method is applied to solve the pantograph equation with proportional delay under the mixed conditions. The method is based on first taking the truncated Boubaker series of the functions in the differential-difference equations and then substituting their matrix forms into the equation. Hence, the result matrix equation can be solved and the unknown Boubaker coefficients can be found approximately. The solution is obtained in terms of Boubaker polynomials. Also, illustrative examples are included to demonstrate the validity and applicability of the technique. The results obtained are compared by the known results.