Abstract
ABSTRACTIn this work, we formulate a local meshless method based on Laplace transform to estimate the solution of a time-fractional diffusion equation. The collocation is constructed over small subdomains and combined with Laplace transform for a temporal variable. In this approach, the differentiation matrices are constructed by solving small systems over small local domains instead of a large global collocation matrix. The application of Laplace transform avoids the classical time-stepping procedure. This method is capable of solving fractional differential equations in multidimensions with higher accuracy.
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