Galerkin Finite Element Method for One Nonlinear Integro-Differential Model
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Galerkin finite element method for the approximation of a nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance is studied. First type initial-boundary value problem is investigated. The convergence of the finite ele- ment scheme is proved. The rate of convergence is given too. The decay of the numerical solution is compared with the analytical results.
Applied Mathematics and Computation, 217, (2011), 6883-6892, doi:10.1016/j.amc.2011.01.053.The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2011.01.053
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