van den Berg, Jan Bouwe; Duchesne, Gabriel William; Lessard, Jean-Philippe Rotation invariant patterns for a nonlinear Laplace-Beltrami equation: a Taylor-Chebyshev series approach. (English) Zbl 1490.65308 J. Comput. Dyn. 9, No. 2, 253-278 (2022). MSC: 65N99 35J30 PDFBibTeX XMLCite \textit{J. B. van den Berg} et al., J. Comput. Dyn. 9, No. 2, 253--278 (2022; Zbl 1490.65308) Full Text: DOI
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan Computer-assisted proofs for radially symmetric solutions of PDEs. (English) Zbl 1409.35017 J. Comput. Dyn. 5, No. 1-2, 61-80 (2018). MSC: 35A35 41A58 65M99 65G20 65G40 35K57 58C15 35J61 PDFBibTeX XMLCite \textit{I. Balázs} et al., J. Comput. Dyn. 5, No. 1--2, 61--80 (2018; Zbl 1409.35017) Full Text: DOI
Al Khawaja, U.; Al-Mdallal, Qasem M. Convergent power series of \(\operatorname{sech}(x)\) and solutions to nonlinear differential equations. (English) Zbl 1487.34056 Int. J. Differ. Equ. 2018, Article ID 6043936, 10 p. (2018). MSC: 34A34 34A25 41A58 PDFBibTeX XMLCite \textit{U. Al Khawaja} and \textit{Q. M. Al-Mdallal}, Int. J. Differ. Equ. 2018, Article ID 6043936, 10 p. (2018; Zbl 1487.34056) Full Text: DOI
Barrio, R.; Rodríguez, M.; Abad, A.; Blesa, F. Breaking the limits: The Taylor series method. (English) Zbl 1219.65064 Appl. Math. Comput. 217, No. 20, 7940-7954 (2011). MSC: 65L05 34A34 34A25 65L70 34-04 65Y15 PDFBibTeX XMLCite \textit{R. Barrio} et al., Appl. Math. Comput. 217, No. 20, 7940--7954 (2011; Zbl 1219.65064) Full Text: DOI
Barrio, Roberto Performance of the Taylor series method for ODEs/DAEs. (English) Zbl 1067.65063 Appl. Math. Comput. 163, No. 2, 525-545 (2005). MSC: 65L05 65L80 34A09 34A34 PDFBibTeX XMLCite \textit{R. Barrio}, Appl. Math. Comput. 163, No. 2, 525--545 (2005; Zbl 1067.65063) Full Text: DOI