Spline solutions of linear twelfth-order boundary-value problems
Journal of Computational and Applied Mathematics
Neural, Parallel & Scientific Computations
Differential quadrature solutions of eighth-order boundary-value differential equations
Journal of Computational and Applied Mathematics
The exact solution for solving a class nonlinear operator equations in the reproducing kernel space
Applied Mathematics and Computation
Solving singular two-point boundary value problem in reproducing kernel space
Journal of Computational and Applied Mathematics
Solution of eighth-order boundary value problems using the non-polynomial spline technique
International Journal of Computer Mathematics
Error estimation for the reproducing kernel method to solve linear boundary value problems
Journal of Computational and Applied Mathematics
A numerical method for singularly perturbed turning point problems with an interior layer
Journal of Computational and Applied Mathematics
Hi-index | 0.00 |
In this paper, the approximate solutions to the eighth-order boundary-value problems are presented using the reproducing kernel space method. The procedure is applied on both linear and nonlinear problems. Searching least value (SLV) method is investigated for nonlinear boundary value problems. The argument is based on the reproducing kernel space $W_{2}^{9}[a,b]$ . The approach provides the solution in the form of a convergent series with easily computable components. Analytical results are given for several examples to illustrate the implementation and efficiency of the method. A comparison of the results obtained by the present method with results obtained by other methods reveals that the present method is more effective and convenient.