• Publications
• Influence
Turing instability for a ratio-dependent predator-prey model with diffusion
• Mathematics, Computer Science
• Appl. Math. Comput.
• 25 March 2009
We study the existence and stability properties of the equilibrium solutions in a reaction–diffusion model in which predator mortality is neither a constant nor an unbounded function, but it is increasing with the predator abundance. Expand
• 49
• 1
• PDF
A fractional-order model for MINMOD Millennium.
• Mathematics, Medicine
• Mathematical biosciences
• 1 April 2015
MINMOD Millennium has been widely used to estimate insulin sensitivity (SI) in glucose-insulin dynamics. In order to explain the rheological behavior of glucose-insulin we attempt to modify MINMODExpand
• 11
• 1
A piecewise P2-nonconforming quadrilateral finite element
• Mathematics
• 1 May 2013
We introduce a piecewise P 2 -nonconforming quadrilateral finite element. First, we decompose a convex quadrilateral into the union of four triangles divided by its diagonals. Then the finite elementExpand
• 11
• PDF
Analysis of one-dimensional Helmholtz equation with PML boundary
• Mathematics
• 1 September 2007
In this paper, the linear conforming finite element method for the one-dimensional Berenger's PML boundary is investigated and well-posedness of the given equation is discussed. Furthermore, optimalExpand
• 5
On the Derivation of Highest-Order Compact Finite Difference Schemes for the One- and Two-Dimensional Poisson Equation with Dirichlet Boundary Conditions
• Computer Science, Mathematics
• SIAM J. Numer. Anal.
• 27 August 2013
We present several simple derivations of finite difference schemes for the one- and two-dimensional Poisson equation on uniform, quasi-uniform, and nonuniform face-to-face hyperrectangular grids and directly prove the existence or nonexistence of their highest-order local accuracies. Expand
• 8
• PDF
Locally stabilized p1-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations
• Computer Science, Mathematics
• J. Comput. Appl. Math.
• 1 October 2011
In this paper, we consider locally stabilized pairs (P"1, P"1)-nonconforming quadrilateral and hexahedral finite element methods for the two- and three-dimensional Stokes equations. Expand
• 26
Higher-order schemes for the Laplace transformation method for parabolic problems
• Mathematics, Computer Science
• Comput. Vis. Sci.
• 2011
In this paper we solve linear parabolic problems using the three stage noble algorithm, which is both parallel in time (and can be in space, too) and extremely high order convergent. Expand
• 4
Estimation of parameter functions in ordinary differential equations with a stage structure: a linear case
• Mathematics
• 17 February 2015
In many mathematical models with complex parameter functions, it is critical to suggest a strategy for estimating those functions. This paper considers the problem of fitting parameter functions toExpand
A COMPUTATIONAL MODEL FOR OSMOSIS PHENOMENA OF CELLS THROUGH SEMI-PERMEABLE MEMBRANES
• Materials Science
• 1 June 2009
The effect of a solute concentration difference on the osmotic transport of water through the semi-permeable membrane of a simple cell model is investigated. So far, most studies on osmotic phenomenaExpand