[PDF] Top 20 On difference equation with generalized dilation

... ON DIFFERENCE EQUATION WITH GENERALIZED DILATION PAVEL PLASCHINSKY Received 22 July 2004; Revised 24 January 2005; Accepted 27 January 2005 We investigate the functional equation with generalized dila[.] ... See full document

... For decades, various families of q-polynomials and q-integral have been investigated rather widely and extensively due mainly to their having been found to be potentially useful in such wide variety of fields as theory of ... See full document

... the equation, based on collocation method using radial basis functions, called Kansa’s approach was used by Khattak in ...the generalized Burgers-Huxley ...the equation. Chebyshev Wavelet collocation ... See full document

... telegraph equation, as a typical diffusion-wave equation, is com- monly used in propagation of electrical signals [], random walk theory [], the neutron transport in nuclear reactor [], and so ... See full document

... of difference equations has grown tremendously during the last several years and it now occupies the central position in applicable analysis and will no doubt continue to play a vital and inevitable role in ... See full document

... of difference equations has grown tremendously during the last several years and it now occupies the central position in applicable analysis and will no doubt continue to play a vital and inevitable role in ... See full document

... We investigate the generalized partial difference operator and propose a mod- el of it in discrete heat equation in this paper. The diffusion of heat is studied by the application of Newton’s law of ... See full document

... a generalized Bellman equation (for the policy to be evaluated) that depends on both the evolution of λ and the unique invariant probability measure of the state-trace process (see Theorem ... See full document

... Sine-Gordon equation is a nonlinear hyperbolic partial differential equation due to it including the d'Alembert operator and the sine of the unknown ...Codazzi equation for surfaces of curvature (see ... See full document

... fractional difference operator. The main definition of fractional difference equation (as done in [12]) is the  fractional sum of f (t ) by ... See full document

... Finite Difference, Finite Volume and Finite ...Finite Difference is the most efficient and, since it is a relatively straightforward method, it is often used in developing numerical formulations to deal ... See full document

... mKdV equation [5] ...mCH equation could also be obtained from an invariant non-stretching planar curve flow in Euclidean geometry ...CH equation in this ... See full document

... Numerical solutions for generalized Rosenau equation are considered and two energy conserva- tive finite difference schemes are proposed. Existence of the solutions for the difference scheme has been shown. ... See full document

... [1]. Difference equation and their associated operators not only play a role in their own right as direct mathematical models of physical phenomena but also provide the field of numerical analysis with ... See full document

... f x = equation. Among the methods, iteration methods are very popular and are used by many researchers. Bisection method, fixed point iteration, secant method and … [1] – [3] and [8] – [10] are among various ... See full document

... difference equation, which originates with the difference Painlevé I equation, f (z + 1) + f(z – 1) = A(z) f(z) + C(z), where A(z), C(z) are small meromorphic functions relative to f (z), and we obtain the ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 970720, 14 pages doi 10 1155/2010/970720 Research Article Dynamics of a Rational Difference Equation Xiu Mei Jia[.] ... See full document

... tion (1.2) is also referred to as the two-scale difference equation or the refinement equation. A nonzero solution of (1.2) is called a scaling function. For a deeper discus- sion of (1.2), and some related ... See full document

... The notion of statistical convergence (see Fast []) has been studied in various setups, and its various generalizations, extensions and variants have been studied by various authors so far. For example, lacunary ... See full document

... (NLS) equation is one of the important mathematical mod- els in many fields of physics, which has been widely applied in Bose-Einstein condensates [–], nonlinear optical fiber communication [, ], plasma physics ... See full document