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This paper presents research on a free boundary value problem arising in a nonlinear n-diffusion equation by using a homotopy analysis method (HAM).
The mode mixing encountered in solving the boundary value problem arising in studies of wave propagation in hot one-dimensional plasmas is investigated.
This yields a boundary value problem arising from the minimal operator D= 12πiddx with domain consisting of C∞ functions vanishing at the endpoints.
The radiation and diffraction boundary value problem arising from the interaction of linear water waves with two vertical truncated cylinders is investigated by use of the method of separation of variables and the method of matched eigenfunction expansion.
It is rather comprehensive in that it applies to a wide variety of boundary value problems; here, we treat the Neumann and Dirichlet problems as well as the boundary value problem arising from acoustic scattering at the interface of two fluids.
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Such boundary value problem arises naturally when the incompressible Navier Stokes equations are solved via a semi-implicit discretization scheme and the resulting boundary value problem at each time step is then solved using the pure stream-function formulation.
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.
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