Comparing numerical methods for solving fourth-order boundary value problems

Applied Mathematics and Computation

Volumn 188, Issue 2, 2007, Pages 1963-1968

  Ertürk, Vedat Suat ^a   Momani, Shaher ^b  

^a ONDOKUZ MAYIS UNIVERSITY   (Turkey)

^b MUTAH UNIVERSITY   (Jordan)

Author keywords

Adomian decomposition method; BVPs; Differential transform method; Taylor series

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PROBLEM SOLVING; TAYLOR SERIES;

ADOMIAN DECOMPOSITION METHODS; DIFFERENTIAL TRANSFORM METHODS;

BOUNDARY VALUE PROBLEMS;

EID: 34248188092     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.075     Document Type: Article

References (11)

1. S.M. Momani, Some Problems in Non-Newtonian Fluid Mechanics, Ph.D. Thesis, Walse University, United Kingdom, 1991.
2. Ma T.F., and Silva J. Iterative solution for a beam equation with nonlinear boundary conditions of third order. Appl. Math. Comput. 159 1 (2004) 11-18
3. Chawla M.M., and Katti C.P. Finite difference methods for two-point boundary-value problems involving a higher order differential equations. BIT 19 1 (1979) 27-33
4. Usmani R.A. On the numerical integration of a boundary value problem involving a fourth order linear differential equations. BIT 17 2 (1997) 227-234
5. 6) finite difference analogue for the solution of some differential equations occurring in plate-deflection theory. J. Inst. Math. Appl. 20 (1977) 331-333
6. Doedel E. Finite difference methods for nonlinear two-point boundary value problems. SIAM J. Numer. Anal. 16 (1979) 173-185
7. G. Pittaluga, L. Sacripante, E. Venturino, A method for nonlinear fourth order initial and boundary value problems, ICCAM2004: Eleventh International Congress on Computational and Applied Mathematics, Leuven, 2004.
8. Wazwaz A.M. The numerical solution of special fourth-order boundary value problems by the modified decomposition method. Int. J. Comput. Math. 79 3 (2002) 345-356
9. Momani S., and Moadi K. A reliable algorithm for solving fourth-order boundary value problems. J. Appl. Math. Comput. 22 3 (2006) 185-197
10. Zhou J.K. Differential Transformation and Its Applications for Electrical Circuits (1986), Huazhong University Press, Wuhan, China (in Chinese)
11. Arikoglu A., and Ozkol I. Solution of difference equations by using differential transform method. Appl. Math. Comput. 174 (2006) 1216-1228