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A numerical method for third-order non-linear boundary-value problems in engineering. (English) Zbl 1065.65098
Summary: A second-order method is developed for the numerical solution of a nonlinear, third-order, boundary-value problem. The method arises from a four-point recurrence relation involving exponential terms, these being replaced by Padé approximants. The convergence of the method is discussed. The method is tested on a sandwich beam problem to demonstrate its usefulness.

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
65L20 Stability and convergence of numerical methods for ordinary differential equations
34K10 Boundary value problems for functional-differential equations
Full Text: DOI
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