International Journal of Computer Mathematics a Numerical Method for Third-order Non-linear Boundary-value Problems in Engineering a Numerical Method for Third-order Non-linear Boundary-value Problems in Engineering

A second-order method is developed for the numerical solution of a non-linear, third-order, boundary-value (BV) 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.

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