Results 11 to 20 of about 943,605 (138)

New contiguity relation of the sixth Painlev\'e equation from a truncation

, 2001
For the master Painlev\'e equation P6(u), we define a consistent method, adapted from the Weiss truncation for partial differential equations, which allows us to obtain the first degree birational transformation of Okamoto.
Clarkson, Deift, Fokas, Fokas, Fokas, Fuchs, Garnier, Garnier, Gordoa, Gordoa, Hone, Jimbo, Korotkin, Micheline Musette, Musette, Musette, Muğan, Nijhoff, Okamoto, Okamoto, Painlevé, Robert Conte, Schlesinger, Weiss   +23 more
core   +1 more source

Transformation kinetics of alloys under non-isothermal conditions

, 2009
The overall solid-to-solid phase transformation kinetics under non-isothermal conditions has been modeled by means of a differential equation method. The method requires provisions for expressions of the fraction of the transformed phase in equilibrium ...
A R Massih, Bangaru N V Busch R A Schemel J H Adamson R B van Swam L F P, Brachet J C Portier L Forgeron T Moan G D Rudling P, Charquet D Alheritier E Adamson R B van Swam L F P, Christian J W, Damkroger B K, Elder K R, Forgeron T Brachet J C Barcelo F Castaing A Hivroz J Mardon J P Bernaudat C Sabol G P Moan G D, Forster D, Gunton J D, Hermansson P, Johnson W A, Kolmogorov A N, L O Jernkvist, Langer J S, Lemaignan C, Mittemeijer E J, Porter D A, Quarteroni A, Umemoto M   +19 more
core   +1 more source

Applications of differential transform method to differential-algebraic equations

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +5 more sources

Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations

Journal of Applied Mathematics, 2014
This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs). Two systems of index-two and index-three are solved to show that RDTM can provide analytical solutions for PDAEs in convergent series form.
Brahim Benhammouda, H. Vázquez-Leal, Arturo Sarmiento-Reyes   +2 more
openaire   +3 more sources

Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations

, 1999
We generalize the method of obtaining the fundamental linear partial differential equations such as the diffusion and Schrodinger equation, Dirac and telegrapher's equation from a simple stochastic consideration to arrive at certain nonlinear form of ...
A. Munier, B. Gaveau, D.G.C. McKeon, G.N. Ord, G.W. Bluman, J.M. Hill, K. Maharana, L.V. Ovsiannikov, P.J. Olver, S. Chandrasekhar   +9 more
core   +1 more source

Reduced Differential Transform Method for Generalized KdV Equations [PDF]

Mathematical and Computational Applications, 2010
In this paper, a general framework of the reduced differential transform method is presented for solving the generalized Korteweg–de Vries equations. This technique doesn’t require any discretization, linearization or small perturbations and therefore it reduces significantly the numerical computation.
Keskin, Yıldıray, Oturanç, Galip
openaire   +2 more sources

General Connectivity Distribution Functions for Growing Networks with Preferential Attachment of Fractional Power

, 2007
We study the general connectivity distribution functions for growing networks with preferential attachment of fractional power, $\Pi_{i} \propto k^{\alpha}$, using the Simon's method.
Barabási A.-L., Boas R. P., Hiroaki S. Yamada, Kazumoto Iguchi, Podlubny I.   +4 more
core   +1 more source

The numerical solution of certain differential equations occurring in Crocco's theory of the laminar boundary layer [PDF]

, 1953
A numerical method is described for the solution of certain differential equations which result from the application of Crocco’s transformation to the laminar boundary layer equations appropriate to high supersonic Mach numbers. (i.e.
Kirkby, S., Nonweiler, T.
core  

SOLVING NON-LINEAR DAMPED DRIVEN SIMPLE PENDULUM WITH SMALL AMPLITUDE USING A SEMI ANALYTICAL METHOD [PDF]

, 2016
In this paper, we present a semi analytical solution for a damped driven pendulum with small amplitude, by using the differential transformation method.
Agarana, M. C., Emetere, Moses
core  

Continuous canonical transformation for the double exchange model

, 2001
The method of continuous canonical transformation is applied to the double exchange model with a purpose to eliminate the interaction term responsible for non conservation of magnon number.
Domanski, T.
core   +2 more sources