4Error Analysis

DOI: 10.1201/9781003359258-4

4.1 INTRODUCTION

For various nonlinear Cauchy problems, we have presented a number of numerical algorithms, including differential operators ranging from power laws to exponential decay laws to extended Mittag-Leffler kernels and their expansions. We will provide a thorough explanation of the reasoning that supports the analysis of error in this part. The numerical error analysis of the numerical methodology for fractal-fractional issues will be the first step in the analysis. We want to be clear that no consistency or convergence analysis is presented in this section. In particular, when the fractal size is 1, the polynomial interpolations utilised to construct these schemes naturally lead to ...

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