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Generalized Iteration Method for First-Kind Integral Equations
Generalized Iteration Method First-Kind Integral Equations
2015/10/16
An iteration method is described to solve one-dimensional, first-kind integral equations with finite integration limits and difference kernel, K(x − x), that decays exponentially. The method re...
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions
Second kind integral equation Dirichlet problem Biharmonic equation
2015/7/14
A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on th...
Theories without the tree property of the second kind
Theories the tree property of the second kind Logic
2012/4/23
We initiate a systematic study of the class of theories without the tree property of the second kind -- NTP2. Most importantly, we show: the burden is "sub-multiplicative" in arbitrary theories (in pa...
A Kind of Accelerated AOS Difference Schemes For Dual Currency Option Pricing Model
Dual currency option pricing model accelerated AOS algorithm 'explicit-implicit' scheme 'implicit-explicit' scheme second order accuracy
2011/10/15
Black-Scholes equation of Dual currency option pricing is a typical multi-asset option pricing model, and it is important to research it's numerical value. This paper uses the accelerated additive ope...
Central simple superalgebras with superantiautomorphism of order two of the second kind
Central simple superalgebras Superantiautomorphisms Superinvolutions Brauer-Wall Groups
2011/4/6
Our main purpose is to develop the theory of existence of superantiautomorphisms of order two of the second kind (which are caled superinvolutions of the second kind) on finite dimensional central sim...
The expansions approach for solving Cauchy integral equation of the first kind
Cauchy integral equation Chebyshev polynomials
2010/9/27
In this paper we expand the kernel of Cauchy integral equation of first kind as a series of Chebyshev polynomials of the second kind times some unknown functions. These unknown functions are determine...
On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
Symmetries Conservation laws Noether theorem Hamiltonian field theories
2010/12/6
This paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian
systems in first-order classical field theories. Thus, we introduce a particular class of
symmetries and s...
Dichotomy and periodic solutions of a kind of integro-differential equations
Periodic solution (h, k)-dichotomy integro-differential equations
2010/9/14
In the present paper, we investigate some important properties of (h, k)-dichotomy. rthermore, we study the higher dimensional periodic system
We exhibit an encoding of knots into processes in the -calculus such that knots are ambient isotopic if and only their encodings are weakly bisimilar.
Alternating direction method for a kind of hyperbolic integro-differential problem with memory
hyperbolic integro-differential equation alternating direction finite element method error estimates
2010/9/10
In this paper, a full-discrete alternating direction finite element method is presented for a class of hyperbolic integro-differential equation, the theocratical analysis show that the scheme is conve...
Derivative approximation by interpolation polynomials of Bernstein type of the third kind
interpolation polynomial of Bernstein type derivative approximation
2010/9/14
In this paper, we mainly study the problems of derivative approximation of interpolation polynomials. Based on the zero nodes of the Chebyshev polynomials of the second kind, we construct an interpola...
Exact solutions for systems of Volterra integral equations of the first kind by homotopy perturbation method
Systems of Volterra integral equations Homotopy perturbation method
2010/9/14
In this article, the homotopy perturbation method is proposed to solve systems of Volterra integral equations of the first kind. Theoretical proposes are presented briefly, so that this paper can be r...
Inequalities Involving Bessel Functions of the First Kind
Bessel functions of the first kind Inequalities Gegenbauer polynomials
2008/7/1
Inequalities Involving Bessel Functions of the First Kind.
Collocation and Fredholm Integral Equations of the First Kind
Collocation Fredholm integral equations weighted quadrature
2008/7/1
We consider the problem of numerical inversion of Fredholm integral equations of the first kind via piecewise interpolation. One of the most important aspects of this technique is the choice of grid a...
On the decomposition method for system of linear Fredholm integral equations of the second kind
Adomian decomposition method System of linear Freadholm integral equations
2010/9/10
In this paper, system of linear Freadholm integral equations of the second kind is handled by applying the decomposition method. For a system of linear equations we show that the Adomian decompositio...