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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 1


Convergence Analysis of Jacobi Pseudo-Spectral Method for the Volterra Delay Integro-Differential Equations

PP: 135-145
Zhang Xiao-yong, Li Junlin,
The Jacobi pseudo-spectral method for the Volterra delay integro-differential equations of the second kind is proposed in this paper. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors (in the L2w a,b -norm and the LĄ-norm ) will decay exponentially provided that the source function is sufficiently smooth. Numerical examples are given to illustrate the theoretical results.

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