Leilei Cao

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In this article we present two numerical models for solving transient heat conduction problems. One is based on dual reciprocity method and Trefftz method (dubbed DRM-Trefftz), and the other is based on dual reciprocity method and fundamental solution (dubbed DRM-MFS). A time stepping method is used in handling the time variable to convert the problem into(More)
Based on the radial basis functions (RBF) and T-Trefftz solution, this paper presents a new meshless method for numerically solving various partial differential equation systems. First, the analog equation method (AEM) is used to convert the original patial differential equation to an equivalent Poisson’s equation. Then, the radial basis functions (RBF) are(More)
A meshless model is developed to investigate behaviors of heat conduction in skin tissues. The model is established through combined use of Laplace transform (LT), radial basis function (RBF) and method of fundamental solution (MFS). The well-known Pennes bioheat model is used to describe the process of heat conduction in skin tissues. First, Laplace(More)
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