Numerical methods for special nonlinear boundary-value problems of order 2m
Journal of Computational and Applied Mathematics
The use of quartic splines in the numerical solution of a fourth-order boundary value problem
Journal of Computational and Applied Mathematics
Spline solutions of linear twelfth-order boundary-value problems
Journal of Computational and Applied Mathematics
The numerical solution of fifth-order boundary value problemsby the decomposition method
Journal of Computational and Applied Mathematics
Numerical Solution of Singularly Perturbed Boundary Value Problems Based on Optimal Control Strategy
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Hi-index | 7.29 |
In this paper, differential equations of arbitrary order with separated boundary conditions are converted into an optimal control problem. Then a convergent approximate solution is constructed such that the exact boundary conditions are satisfied. In fact it will be shown that for every @e0, there exists an approximate solution v"@e of B-spline functions such that the corresponding least square error is less than @e0, and also v"@e satisfies the exact boundary conditions. Some examples are given and the optimal errors are obtained for the sake of comparison.