## Differential Transform Technique for Solving Fifth-Order Boundary Value Problems

*Ertürk, Vedat*;

*Momani, Shaher*;

- Publisher: Association for Scientific Research
- Journal: Mathematical and Computational Applications (issn: 2297-8747)
Related identifiers: doi: 10.3390/mca13020113 - Subject: Numerical solution | Fifth-order boundary value problems | Differential transform method

- References (20) 20 references, page 1 of 2
- 1
- 2

1. A. Arıkoğlu, I. Özkol, Solution of boundary value problems for integro-differential equations by using differential transform method, Applied Mathematics and Computation 168, 1145-1158, 2005.

2. A. Karageoghis, T.N. Philips and A.R. Davies, Spectral collocation methods for the primary two-point boundary-value problems in modeling viscoelastic flows, International Journal for Numerical Methods in Engineering 26, 805-813, 1998.

3. A.M. Wazwaz, The numerical solution of fifth-order boundary value problems by the decomposition method, Journal of Computational and Applied Mathematics 136, 259- 270, 2001.

4. A.R.Davies, A. Karageoghis and T.N. Philips , Spectral Galerkin methods for the priary two-point boundary-value problems in modeling viscoelastic flows, International Journal for Numerical Methods in Engineering 26, 647-662, 1998.

5. M. J. Jang, C.L. Chen, Analysis of the response of a strongly nonlinear damped system using a differential transformation technique, Applied Mathematics and Computation 88, 137-151, 1997.

6. D.J. Fyfe, Linear dependence relations connecting equal interval Nth degree splines and their derivatives, Journal of the Institute of Mathematics and its Applications 7, 398-406, 1971.

7. F. Ayaz, Solutions of the system of differential equations by differential transform method, Applied Mathematics and Computation 147, 547-567, 2004.

8. G.L. Liu, New research directions in singular perturbation theory: artificial parameter pproach and inverse-perturbation technique, Proceeding of the Conference of the 7th Modern Mathematics and Mechanics, Shanghai, 1997.

9. H. Liu, Y. Song, Differential transform method applied to high index, Applied Mathematics and Computation 184, 748-753, 2007 .

10. H.N. Çaglar, S.H. Çaglar and E.H. Twizell, The numerical solution of fiffth-order boundary value problems with sixth-degree B-spline functions, Applied Mathematics Letters 12, 25-30, 1999.

- Metrics No metrics available

- Download from
- Mathematical and Computational Applications via Multidisciplinary Digital Publishing Institute (Other literature type, 2008)

- Cite this publication