On the higher-order pantograph type delay differential equation via orthonormal Bernstein polynomials

الملخص EN

In this study, a collocation method based on the truncated orthonormal Bernstein polynomial was adopted to obtain an approximate solution for the generalized pantograph equations with proportional delay under some initial conditions.

The adopted method is based on transforming both of the generalized pantograph equations and the adopted conditions into matrix equation which corresponds to a system of linear algebraic equation.

The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and then validated by Math lab 15 package