Sentence examples for problem and boundaries from inspiring English sources

A decision analytic model was developed according to the stages recommended by Briggs et al by specifying the decision problem and boundaries of analysis, structuring the decision model, identifying appropriate evidence, and dealing with uncertainty and heterogeneity [ 19].

The method is based on a direct discretization of the underlying parabolic problem and boundary conditions.

The workload and number of iterations of LAS and SOLAS differ significantly with the underlying physical problem and boundary conditions.

It also deals with the finite element method, which is considered to be the most powerful mathematical method that exists today to solve piling problems, and boundary element method, which is a simplified version of the finite element method.

Li et al. [32] proposed the spectral collocation method to solve the fractional initial value problems and boundary value problems.

To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.

Solutions of ordinary differential equations, such as initial value problems and boundary value problems, have been studied and published during the past two decades on time scales.

Recently, this method has also been applied to initial value problems and boundary value problems for fractional differential equations; see [21 33].

This technique is well known and can be used for both initial value problems and boundary value problems for differential equations [18 20].

My current specific research interests focus on adaptive and multiscale algorithms for reaction-diffusion equations, Cartesian grid methods for elliptic boundary and interface problems, and boundary integral methods accelerated by fast multipole algorithms.

Many existence results of solutions to initial value problems and boundary value problems for fractional differential equations have been established in terms of all sorts of methods; see, e.g., [1 17] and the references therein.