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An improved collocation method for solving a fractional integro-differential equation

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In the paper, an improved collocation method is proposed for solving a linear fractional integro-differential equation. The method is proposed by improving the residual to vanish and require the residual… Click to show full abstract

In the paper, an improved collocation method is proposed for solving a linear fractional integro-differential equation. The method is proposed by improving the residual to vanish and require the residual to the minimum in sense of $$\Vert \cdot \Vert _C$$ ‖ · ‖ C . It can avoid efficiently ill-conditioned of higher degree polynomials. Convergence order is superconvergence and stability analysis is also provided.

Keywords: method; fractional integro; improved collocation; integro differential; differential equation; collocation method

Journal Title: Computational and Applied Mathematics
Year Published: 2021

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