Displaying similar documents to “Two-dimensional problems of elasticity of anisotropic bodies.”

Numerical method for the mixed Volterra-Fredholm integral equations using hybrid Legendre functions

Nemati, S., Lima, P., Ordokhani, Y.

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A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.

On F -differentiable Fredholm operators of nonstationary initial-boundary value problems

Vladimír Ďurikovič, Monika Ďurikovičová (2002)

Archivum Mathematicum

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We are dealing with Dirichlet, Neumann and Newton type initial-boundary value problems for a general second order nonlinear evolution equation. Using the Fredholm operator theory we establish some sufficient conditions for Fréchet differentiability of associated operators to the given problems. With help of these results the generic properties, existence and continuous dependency of solutions for initial-boundary value problems are studied.