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4. Conclusion

In this paper, we make use of LPR method to solve the

linear integro-differential equations. It’s showed that this

method is very convergent for solving linear integro-dif-

ferential equations. Moreover, the numerical results ap-

proximate the exact solution very well. The Method can

be extended to different parameters p, h and kinds of

kernel functions. LPR method can also solve nonlinear or

integro-differential equations which can be researched

and resolved.

5. Acknowledgements

This work was in part supported by Chongqing CSTC

foundations of China (Grant No. CSTC, 2010BB2310,

Grant No. CSTC, 2011jjA40033), Chongqing CMEC

foundations of China (Grant No. KJ080614, Grant No.

KJ100810, Grant No. KJ100818, KJ120829).

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