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New algorithm for the numerical solutions of nonlinear third-order differential equations using Jacobi-Gauss collocation method. (English) Zbl 1217.65155
Summary: A new algorithm for solving the general nonlinear third-order differential equation is developed by means of a shifted Jacobi-Gauss collocation spectral method. The shifted Jacobi-Gauss points are used as collocation nodes. Numerical examples are included to demonstrate the validity and applicability of the proposed algorithm, and some comparisons are made with the existing results. The method is easy to implement and yields very accurate results.

65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
65L10Boundary value problems for ODE (numerical methods)
34B15Nonlinear boundary value problems for ODE
Full Text: DOI EuDML
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