Numerical solution of functional differential, integral and integro-differential equations

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摘要

This paper describes a numerical method, based on Lagrange interpolation and Chebyshev interpolation, to treat functional integral equations of Volterra type and Fredholm type. Also, the method can be extended to functional differential and integro-differential equations. Various numerical examples are treated.

论文关键词:Lagrange interpolation,Functional integral equations of the second kind,Functional integro-differential equations,Functional differential equations of first or second order,Chebyshev interpolation

论文评审过程:Available online 5 December 2003.

论文官网地址:https://doi.org/10.1016/j.amc.2003.08.021