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In [23], Todorcevic gives a survey of basis problems in combinatorial set theory,listing nine theorems and six working conjectures.
Explicit solution of axisymmetric stagnation flow towards a shrinking sheet by DTM-Pade
Differential transform method Padé Approximant
2010/11/1
In this letter, the differential transform method (DTM) is applied to the axisymmetric stagnation flow towards a shrinking sheet gives a system of nonlinear ordinary differential equations. The approx...
Explicit analytic solution for the nonlinear ion sound waves equation
Homotopy Analysis Method Plasma Physics
2010/9/21
In this article, we use an ecient analytical method called homotopy analysis method (HAM) to derive an approximate solution of nonlinear ion sound waves equation. Actually, we solved Korteweg-de Vrie...
Preconditioned modified explicit decoupled group method in the solution of elliptic PDEs
Preconditioning method Modified Explicit Decoupled Group method
2010/9/21
Many physical phenomena in static field problems particularly in the electromagnetic field and the incompressible potential flow field are described by elliptic partial differential equations (pdes). ...
Differential transform solution of some linear wave equations with mixed nonlinear boundary conditions and its blow up
Wave Equation Series Solution Energy Equation, Blow up
2010/9/20
Using Differential Transform to solve blow up solutions of some linear wave equation with mixed non-linear boundary conditions is proposed in this study.Non-linear boundary conditions cause the finite...
Another approach to solution of fuzzy differential equations
Fuzzy differential equations Runge-Kutta method of order three
2010/9/21
In this paper, we have introduced and studied a new technique for getting the solution of fuzzy initial value problem.
Implementation of 2-point 2-step methods for the solution of first order ODEs
Block methods Ordinary Differential Equation
2010/9/20
In this paper the 2 point 2 step methods (2PG, M2PG, M2PF) for solving system of first order ordinary differential equations are proposed. These methods at each step will approximate the solutions of ...
Numerical solution of nth-order integro-differential equations with trigonometric wavelet
integro-differential equation collocation method
2010/9/26
Integro-differential equations are appeared in many engineering and physic fields. We select fredholm integro-differential equation and basis gained from trigonometric wavelet scaling function. In thi...
An optimal more-for-less solution to fuzzy transportation problems with mixed constraints
Fuzzy transportation problem Triangular fuzzy number
2010/9/25
A new algorithm based on fuzzy zero point method [14] for finding an optimal more-for-less solution for a fuzzy transportation problem with mixed constraints where the transportation cost, supply and ...
A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems
Fuzzy transportation problem Trapezoidal fuzzy numbers
2010/9/20
A new algorithm namely, fuzzy zero point method is proposed for finding a fuzzy optimal solution for a fuzzy transportation problem where the transportation cost, supply and demand are trapezoidal fuz...
Approximate low rank solution of generalized Lyapunov matrix equations via proper orthogonal decomposition
Generalized Lyapunov matrix equations approximation theory
2010/9/20
We generalized a direct method for generalized Lyapunov matrix equation, using proper orthogonal decomposition (POD). Such equations arise in model reduction of descriptor systems.
Numerical solution of regularized long wave equation by reduced differential transform method
Reduced differential transform method Adomian decomposition method Variational iteration method
2010/9/25
In this paper, a general framework of the reduced differential transform method is presented for solving the regularized long wave (RLW) equation. In this method, the solution is calculated in the for...
New method for finding an optimal solution of fully interval integer transportation problems
Interval integer transportation problem Optimal solution
2010/9/26
A new method namely, separation method based on zero point method [9] is proposed for finding an optimal solution for integer transportation problems where transportation cost, supply and demand are i...
In the 1950s, the Nobel Prize winner John F. Nash has shown that under certain conditions, the best solution to the bargaining problem is when the product of the (increase in) utilities is the largest...
A gradient descent solution to the Monge-Kantorovich problem
Monge-Kantorovich problem optimal transport
2010/9/13
We present a new, simple, and elegant algorithm for computing the optimal mapping for the Monge-Kantorovich problem with quadratic cost. The method arises from a reformulation of the dual problem into...