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Discretization of nonlinear models by sinc collocation-interpolation methods. (English) Zbl 0858.65104
Summary: This paper deals with the solution of initial-boundary value problems for nonlinear evolution equations in one and two space dimensions. The solution technique is based on collocation-interpolation methods which use sinc functions. The paper aims to provide a guideline towards a large number of nonlinear problems of interest in applied sciences.

MSC:
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K55 Nonlinear parabolic equations
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