L. A. D. da Mota

activity

19942026

most citedComputer Algebra Solving of First Order ODEs Using Symmetry Methods

57 citations · 163 across the 21 of their papers we have counts for

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3 papers · 1 filter

math.CA2026

The S-function at arbitrary order: hyperplanes of symmetries and the realisability condition

L. G. S. Duarte, L. A. C. P. da Mota

For a scalar equation $y^{(n)} = φ (x, y, \dots, y^{(n - 1)})$ the $S$ -function of the extended Prelle--Singer method is a vector $S = (S_{0}, \dots, S_{n - 2})$ , the null-form vector of Chandrase…

math.CA2023★ 2 cited

Finding nonlocal Lie symmetries algorithmically

L. G. S. Duarte, L. A. C. P. da Mota, A. F. Rocha

Here we present a new approach to compute symmetries of rational second order ordinary differential equations (rational 2ODEs). This method can compute Lie symmetries (point symmet…

math.CA2017

Solving 1ODEs with functions

L. G. S. Duarte, L. A. C. P. da Mota, A. B. M. M. Queiroz

Here we present a new approach to deal with first order ordinary differential equations (1ODEs), presenting functions. This method is an alternative to the one we have presented in…