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**Solution of parabolic integro-differential equations arising in heat conduction in materials with memory via He’s variational iteration technique.**
*(English)*
Zbl 1192.65158

Summary: We present the solution of some parabolic integro-differential equations, which naturally arise in many applications. He’s variational iteration method is implemented to give the solution for this equation. This technique is based on the incorporation of a general Lagrange multiplier in the construction of correction functional for the equation. Application of variational iteration technique to this problem shows that it performs extremely well in terms of accuracy, efficiently, simplicity, stability and reliability.

### MSC:

65R20 | Numerical methods for integral equations |

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\textit{M. Dehghan} and \textit{F. Shakeri}, Int. J. Numer. Methods Biomed. Eng. 26, No. 6, 705--715 (2010; Zbl 1192.65158)

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