Current Issue : October - December Volume : 2018 Issue Number : 4 Articles : 7 Articles
We study in this paper the following max-type system of difference equations of higher order: ...
This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with\nmultistrip Riemannââ?¬â??Stieltjes integral boundary conditions. Our results are based on the Leggettââ?¬â??Williams fixed point theorem. In\nthe end, two examples are worked out to illustrate our main work...
We consider the problem of convergence to zero of matrix products ...
This paper presents a study on the development and implementation of a\nsecond derivative method for the solution of stiff first order initial value\nproblems of ordinary differential equations using method of interpolation and\ncollocation of polynomial approximate solution. The results of this paper\nbring some useful information. The constructed methods are A-stable up to\norder 8. As it is shown in the numerical examples, the new methods are superior\nfor stiff systems....
Consider a diffusion convection equation coming from the electrorheological fluids. If the diffusion coefficient of the equation is\ndegenerate on the boundary, generally, we can only impose a partial boundary value condition to ensure the well-posedness of the\nsolutions. Since the equation is nonlinear, the partial boundary value condition cannot be depicted by Fichera function. In this\npaper, when...
This paper studies a damped Frenkelââ?¬â??Kontorovamodel with periodic boundary condition. By usingNashââ?¬â??Moser iteration scheme,\nwe prove that such model has a family of smooth traveling wave solutions....
The Weak Galerkin (WG) finite element method for the unsteady Stokes equations\nin the primary velocity-pressure formulation is introduced in this paper.\nOptimal-order error estimates are established for the corresponding numerical\napproximation in an H1 norm for the velocity, and L2 norm for both\nthe velocity and the pressure by use of the Stokes projection....
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