We consider a conformable fractional Sturm-Liouville problem with the discontinuous(or jump) condition inside interval. The asymptotic formulas for eigenvalues, nodal parameters (nodal points and lengths) of this are calculated by modified Pr?fer substitutions. Also, using these formulas, an explicit formula potential functions is given. After all, we discuss Lipschitz stability considered prob...

n this work, computational fluid dynamics of the flow behavior in a cold flow of fluidized bed is studied. An improved finite volume based finite element method has been introduced to solve the two-phase gas/solid flow hydrodynamic equations. This method uses a collocated grid, where all variables are located at the nodal points. The fluid dynamic model for gas/solid two-phase flow is based on ...

This paper presents a meshless element-free Galerkin method coupled with the radial basis functions (RBFs)-based level set algorithm for topology optimization. The approach provides structural response and corresponding sensitivities at nodal/grid points, solution of RBFs-based formulation updates geometry accordingly. Thus, this unique novel allows optimization problems using single discretiza...

The Deligne–Mumford moduli space is the space M̄g,n of isomorphism classes of stable nodal Riemann surfaces of arithmetic genus g with n marked points. A marked nodal Riemann surface is stable if and only if its isomorphism group is finite. We introduce the notion of a universal unfolding of a marked nodal Riemann surface and show that it exists if and only if the surface is stable. A natural co...

A Modified Nodal Integral Method (MNIM) for three-dimensional, incompressible Navier-Stokes (N-S) equations has recently been developed. MNIM requires relatively less number of grid points for the desired accuracy. The Parallel MNIM (PMNIM) is developed in order to further enhance its capabilities. Since template of the nodal integral method is quite different from those that result from finite...

‎in this paper‎, ‎an approach based on statistical spline model (ssm) and collocation method is proposed to solve volterra-fredholm integral equations‎. ‎the set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎numerical results on some problems are given...

In the context of extended t − J models, with intersite Coulomb interactions of the form −V i,j n i n j , with n i denoting the electron number operator at site i, nodal liquids are discussed. We use the spin-charge separation ansatz as applied to the nodes of a d-wave superconducting gap. Such a situation may be of relevance to the physics of high-temperature superconductivity. We point out th...

‎In this paper‎, ‎an approach based on statistical spline model (SSM) and collocation method is proposed to solve Volterra-Fredholm integral equations‎. ‎The set of collocation nodes is chosen so that the points yield minimal error in the nodal polynomials‎. ‎Under some standard assumptions‎, ‎we establish the convergence property of this approach‎. ‎Numerical results on some problems are given...