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Study of the convergence of the finite-element method for parabolic equations with a nonlinear nonlocal spatial operator© 2015, Pleiades Publishing, Ltd. We consider a parabolic equation whose spatial operator depends
Finite difference approximation of electron balance problem in the stationary high-frequency induction discharges problem is approximated by the finite difference method on a uniform grid. A sufficient condition
Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive sourceWe consider an abstract Cauchy problem with non-linear operator coefficients and prove
Symbolic-Numerical Algorithms for Solving the Parametric Self-adjoint 2D Elliptic Boundary-Value Problem Using High-Accuracy Finite Element Method the parametric self-adjoint elliptic boundary-value problem (BVP) in a 2D finite domain, using high
On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical ModelIn this paper, we propose a system of nonlinear equations for the electric field potential
On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasmaThe initial boundary-value problem for the equation of ion-sound waves in a plasma is studied. A
Exact self-consistent plane-symmetric solutions of the spinor-field equation with a nonlinear term that depends on the S2 - P2 invariantExact plane-symmetric solutions of the spinor-field equation with zero mass parameter and nonlinear
Algorithms of solving the matrix equations for deformation mechanics of flexible structures at finite displacementsThe algorithms of forming the matrix equations of equilibrium in solving geometrically nonlinear
Physically Nonlinear Deformation of the Shell Using a Three-field FEM nonlinearity of the shell material, the defining equations are
used in two versions: the first is the defining
Eigenvibrations of a bar with elastically attached load secondorder differential problem with a spectral parameter nonlinearly occurring in the boundary condition
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