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A kernel-based method for fractional integro-differential equations with a weakly singular kernel in multi-dimensional complex domains
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DOI：10.1016/j.enganabound.2023.11.015.png)
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Abstract
En 中文
We present an efficient and practical numerical method for solving fractional integro-differential equations with a weakly singular kernel in complex two and three-dimensional domains. The reproducing kernel pseudo-spectral method is used to discretize the multidimensional regular and irregular spatial domains, while time discretization is done using a third-order backward differentiation formula. We have investigated the unconditional stability of the utilized temporal discretization. Finally, we have used the proposed method to solve the examples presented in the articles and compared the results. The obtained results show the accuracy and ability of the presented method.
Keywords:
Fractional integro-differential equations with a
weakly singular kernel
Reproducing kernel pseudo-spectral method
Backward differentiation formula
Multidimensional regular and irregular spatial
domains
Journal
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4.1
Papers:
5.8K
Citations:
9.4K