Abstract
This is a review paper that briefly represents the recursive and operational approaches to the Tau method on solving ordinary differential and integro-differential equations with suitable initial or boundary conditions, and we discuss a new extension of the method on solving a class of Abel Volterra integral equations which can be also used for solving fractional differential equations. Extension of height and canonical polynomials are introduced. Illustrative examples are given in each case to clarify the performance and structural properties of the method.
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All authors contributed to the study conception and design. Analysis of the method and results were performed by SS, YT and CT. The first draft of the manuscript was written by SS and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
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Shahmorad, S., Talaei, Y. & Tunç, C. Review of recursive and operational approaches of the Tau method with a new extension. Comp. Appl. Math. 42, 307 (2023). https://doi.org/10.1007/s40314-023-02444-1
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DOI: https://doi.org/10.1007/s40314-023-02444-1