A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions

作者：

Highlights：

• A new method to solve systems of IDEs under mixed boundary conditions is presented.

• This algorithm can solve different kinds of systems of integro-differential equations.

• Convergence analysis for the method is proved and accuracy of the method is high.

• Accuracy of results is truly fine even if the number of approximating terms is small.

• CPU time and computational time of the new method is less than the other methods.

摘要

•A new method to solve systems of IDEs under mixed boundary conditions is presented.•This algorithm can solve different kinds of systems of integro-differential equations.•Convergence analysis for the method is proved and accuracy of the method is high.•Accuracy of results is truly fine even if the number of approximating terms is small.•CPU time and computational time of the new method is less than the other methods.

论文关键词：System of integro-differential equations,Mixed boundary condition,Residual function,Error function,CPU time

论文评审过程：Received 5 September 2016, Revised 16 November 2016, Available online 2 December 2016, Version of Record 16 December 2016.

论文官网地址：https://doi.org/10.1016/j.cam.2016.11.029