A Family of Transformed Difference Schemes for Nonlinear Time-Fractional Equations

Fractal and Fractional（2023）

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摘要

In this paper, we present a class of finite difference methods for numerically solving fractional differential equations. Such numerical schemes are developed based on the change in variable and piecewise interpolations. Error analysis of the numerical schemes is obtained by using a Grönwall-type inequality. Numerical examples are given to confirm the theoretical results.

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关键词

time-fractional parabolic problems,change in variable,convergence,optimal error estimates,linearized schemes

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