 ## Abstract

In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-diﬀerential equations (VO-TF-PIDEs) with the weakly singular kernel. For this purpose, we derive the pseudo-operational matrices with the use of the transformation matrix. The collocation method and pseudo-operational matrices transfer the problem to a system of algebraic equations. Also, the error analysis of the proposed method is given. We consider several examples to illustrate the proposed method is accurate.

How to Cite
Dehestani, H., Ordokhani, Y., & Razzaghi, M. (2020). Numerical solution of variable-order time fractional weakly singular partial integro-differential equations with error estimation. Mathematical Modelling and Analysis, 25(4), 680-701. https://doi.org/10.3846/mma.2020.11692
Published in Issue
Oct 13, 2020
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