A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations

被引：0
|
作者：
F. Afiatdoust
M. H. Heydari
M. M. Hosseini
机构：
[1] Shahid Bahonar University of Kerman,Faculty of Mathematics
[2] Shiraz University of Technology,Department of Mathematics
来源：
Computational and Applied Mathematics | 2023年 / 42卷
关键词：
Fractional system; Weakly singular integro-differential equations; Romberg quadrature formula; Block-by-block method; 26A33;
D O I：
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摘要：
This paper concentrates on providing a new approach to arrive at approximate solution of a fractional nonlinear system of weakly singular integro-differential equations. This approach has the ability to calculate several undetermined values of the problem at several grid points out of considering the starting values. The convergence of the adopted approach is investigated and it is shown that the new strategy has a high order of convergence. Some examples are considered to observe the accuracy of the established scheme.
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