On an analogue of the Euler-Cauchy polygon method for the numerical solution of ux y = f(x, y, u, ux, uy)

Author:

Diaz J. B.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference30 articles.

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2. Peano, G.: Sur le théorème générale relatif à l'existence des intégrales des équations différentielles ordinaires. Nouvelles Annales de Mathématiques 11, 79–82 (1892).

3. Bianchi, L.: Applicazioni geometriche del metodo delle approssimazioni successive di Picard. Rendiconti della Reale Accademia dei Lincei, Ser. 5 3, 143–150 (1894).

4. Arzelà, C.: Sull'esistenza degli integrali nelle equazioni differenziali ordinarie. Memorie della Reale Accademia delle Scienze dell'Istituto di Bologna, Ser. 5 6, 131–140 (1896).

5. Picard, E.: Sur les méthodes d'approximations successives dans la théorie des équations différentielles. (Note I to vol. 4 of G. Darboux, Leçons sur la Théorie Générale des Surfaces, Paris, 1896, pp. 353–367.)

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