Abstract:We obtain collocation nodes for a quadrangular finite element. They increase the accuracy of a collocation grid algorithm for solving an initial boundary value problem for one-dimensional parabolic second-order equations.When solving boundary value and initial boundary value problems for differential equations a wide range of different methods is used [5,8,9,13,16], which includes finite difference, projection, spectral methods, finite element methods and so on. By now efficient algorithms of different order o… Show more
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