Sentence examples for boundary value problems arising from inspiring English sources
The spline collocation method is a competent and highly effective mathematical tool for constructing the approximate solutions of boundary value problems arising in science, engineering and mathematical physics.
A new finite element method for solving important linear and nonlinear boundary value problems arising in computational physics is described in this paper.
A general formalism is presented for the solution of boundary value problems arising in the description of transport of mass or energy through multiphase media, which consists in identifying physical conditions of interfaces with criteria for self-adjointness of the operators concerned.
Equations of the type (10) find their application in mathematical optimization, computer programming and in dynamic programming, which gives tools for solving boundary value problems arising in engineering and physical sciences (see, e.g., [9]).
By the above exponential operator, Dattoli et al. found solutions of some boundary value problems arising in mathematical physics in terms of integral transforms type; see [2, 3] and references therein.
It is known that a class of nonsymmetric and odd-order obstacle, unilateral, and moving boundary value problems arising in pure and applied can be studied in the unified framework of general variational inequalities (e.g., [2] and the references therein).
A series of elliptic boundary value problems arises from the above procedure, each of which is spatially discretized by a weak collocation method in multiple nonoverlapping subdomains.
Mixed boundary value problems arise in a number of chemical engineering models for heat conduction, simultaneous diffusion and reaction, and fluid flow whenever there is a change in the type of boundary condition along the same boundary.
