Extension of Euler’s method to parabolic equations

Author:

Ibragimov N.H.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference9 articles.

1. Euler L. Integral calculus, vol. III, Part 1; 1769/1770 [chapter II].

2. Petrén L. Extension de la méthode de Laplace aux équations ∑i=0n-1A1i(x,y)∂i+1z∂x∂yi+∑i=0nA0i(x,y)∂iz∂yi=0. PhD Thesis. Lund: Lunds Universitets Årsskrift. N.F. Afd.2. Bd. 7. Nr 3, Kongl. Fysiografiska Sällskapets Handlingar. N.F. Bd. 22. Nr 3, 1911, 1–165. English translation of “Introduction” to Loise Petrén’s Thesis is available in Archives of ALGA, 3; 2006. p. 13–31.

3. Laplace PS. Recherches sur le calcul intégral aux différences partielles. Mémoires. de l’Académie royale des Sciences de Paris 1773;23(24):341–402. Reprinted in: Laplace PS. Oevres complètes, t. IX, Gauthier-Villars, Paris, 1893, 5–68. English Translation, New York, 1966.

4. Laplace type invariants for parabolic equations;Ibragimov;Nonlinear Dynam,2002

5. A practical course in differential equations and mathematical modelling;Ibragimov,2006

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