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Reconstructive schemes for variational iteration method within Yang-Laplace transform with application to fractal heat conduction problem

Liu Chun-Feng (College of Science, Hebei United University, Tangshan, China)
Kong Shan-Shan (College of Computer Science and Technology, Beijing University of Technology, Beijing, China)
Yuan Shu-Juan (Qinggong College, Hebei United University, Tangshan, China)

A reconstructive scheme for variational iteration method using the Yang-Laplace transform is proposed and developed with the Yang-Laplace transform. The identification of fractal Lagrange multiplier is investigated by the Yang-Laplace transform. The method is exemplified by a fractal heat conduction equation with local fractional derivative. The results developed are valid for a compact solution domain with high accuracy.

Keywords: Fractal heat conduction equation, local fractional variational iteration method, Yang-Laplace transform, local fractional derivative