Numerical solution of third order singular boundary value problems with nonclassical SE-sinc-collocation and nonclassical DE-sinc-collocation. (English) Zbl 1530.65079
Summary: In this paper, we use the nonclassical SE-sinc-collocation and nonclassical DE-sinc-collocation methods for the numerical solution of singular third-order boundary value problems. The novelty of the approach is based on using the new non-classical weight function for the sinc method instead of the classic ones. The convergence and error estimation of our methods are discussed. Several examples are solved and numerical results are compared with the existed methods. The obtained results demonstrate the validity of the obtained theoretical results and the efficiency of our methods.
MSC:
| 65L60 | Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations |
| 65L10 | Numerical solution of boundary value problems involving ordinary differential equations |
| 65L20 | Stability and convergence of numerical methods for ordinary differential equations |
Keywords:
nonclassical; SE-sinc-collocation; DE-sinc-collocation; third order; singular boundary value problem; convergenceReferences:
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