Numerical solution of second-order linear delay differential and integro-differential equations by using Taylor collocation method
International Journal of Computational Methods, 2020•World Scientific
The main purpose of this work is to provide a numerical approach for linear second-order
differential and integro-differential equations with constant delay. An algorithm based on the
use of Taylor polynomials is developed to construct a collocation solution u∈ S m (1)(Π N)
for approximating the solution of second-order linear DDEs and DIDEs. It is shown that this
algorithm is convergent. Some numerical examples are included to demonstrate the validity
of this algorithm.
differential and integro-differential equations with constant delay. An algorithm based on the
use of Taylor polynomials is developed to construct a collocation solution u∈ S m (1)(Π N)
for approximating the solution of second-order linear DDEs and DIDEs. It is shown that this
algorithm is convergent. Some numerical examples are included to demonstrate the validity
of this algorithm.
The main purpose of this work is to provide a numerical approach for linear second-order differential and integro-differential equations with constant delay. An algorithm based on the use of Taylor polynomials is developed to construct a collocation solution for approximating the solution of second-order linear DDEs and DIDEs. It is shown that this algorithm is convergent. Some numerical examples are included to demonstrate the validity of this algorithm.
World Scientific以上显示的是最相近的搜索结果。 查看全部搜索结果