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Embedded Zassenhaus Expansion to Operator Splitting Schemes: Theory and Application in Fluid Dynamics
Operator splitting method Iterative splitting Zassenhaus product Parabolic differential equations Convection-Diffusion-Reaction Equations
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2012/4/18
In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, ...
General Solution of Generalized (2+1)–Dimensional Kadomtsev-Petviashvili (KP) Equation by Using the –Expansion Method
(G,/G)-Expansion Method Generalized Kadomtsev-Petviashvili (KP) Equation Hyperbolic Function Solutions Trigonometric Function Solutions
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2013/1/30
In this work, the (G,/G)- --expansion method is proposed for constructing more general exact solutions of the (2 + 1)--dimensional Kadomtsev-Petviashvili (KP) equation and its generalized forms. Our w...
On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1:12=0 and other related hyperquadratic expansions
Continued fractions Fields of power series Finite fields
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2010/12/15
.In 1985, Robbins observed by computer the continued frac-tion expansion of certain algebraic power series over a finite field. Inciden-tally he came across a particular equation of degree four in cha...
ASYMPTOTIC ERROR EXPANSION AND DEFECT CORRECTION FOR SOBOLEV ANDVISCOELASTICITY TYPE EQUATIONS
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2007/12/12
In this paper we study the higher accuracy methods
$-$ the extrapolation and defect correction for the semidiscrete Galerkin approximations
to the solutions of Sobolev and viscoelasticity type equat...