Solution of the system of fourth-order boundary value problems using non-polynomial spline technique

Applied Mathematics and Computation

Volumn 185, Issue 1, 2007, Pages 128-135

  Siddiqi, Shahid S ^a   Akram, Ghazala ^a  

^a UNIVERSITY OF THE PUNJAB   (Pakistan)

Author keywords

Non polynomial spline; Obstacle problems; System of boundary value problems

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD; NUMERICAL ANALYSIS;

NON-POLYNOMIAL SPLINE; OBSTACLE PROBLEMS;

POLYNOMIALS;

EID: 33846986457     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.014     Document Type: Article

References (15)

1. Al-Said E.A., and Noor M.A. Computational methods for fourth-order obstacle boundary-value problems. Communications in Applied Nonlinear Analysis 2 (1995) 73-83
2. Al-Said E.A., and Noor M.A. Numerical solution of a system of fourth-order boundary-value problems. International Journal of Computer Mathematics 70 (1998) 347-355
3. Khalifa A.K., and Noor M.A. Quintic splines solutions of contact problems. Mathematical and Computational Modeling 13 (1990) 51-58
4. Khan A., Noor M.A., and Aziz T. Parametric quintic-spline approach to the solution of a system of fourth-order boundary-value problems. Journal of Optimization Theory and Applications 122 2 (2004) 309-322
5. Lewy H., and Stampacchia G. On the regularity of the solution of the variational inequalities. Communications in Pure and Applied Mathematics 22 (1969) 153-188
6. Crank J. Free and Moving Boundary-Value Problems (1984), Clarendon Press, Oxford, UK
7. Noor M.A., and Khalifa A.K. Quintic splines method for solving contact problems. Applied Mathematics Letters 3 (1990) 81-83
8. Noor M.A., and Al-Said E.A. Numerical solutions of fourth-order variational inequalities. International Journal of Computer Mathematics 75 (2000) 107-116
9. Noor M.A. Some recent advances in variational inequalities Part I: Basic concepts. Newzealand J. Math. 26 (1997) 53-80
10. Kikuchi N., and Oden J.T. Contact Problems in Elasticity (1988), SIAM, Philadelphia, Pennsylvania
11. Glowinski R., Lions J.L., and Tremolieres R. Numerical Analysis of Variational Inequalities (1981), North-Holland, Amsterdam, Holland
12. Papamichael N., and Worsey A.J. A Cubic Spline Method For The Solution Of A Linear Fourth-Order Two-Point Boundary Value Problem. Journal of Comptutational and Applied Mathematics 7 (1981) 187-189
13. Usmani R.A. Discrete variable methods for a boundary value problem with engineering applications. Mathematics of Computation 32 144 (1978) 1087-1096
14. Usmani R.A. Discrete methods for boundary value problems with applications in plate deflection theory. ZAMP 30 (1979) 87-99
15. Siraj-ul-Islam, Khan M.A., Tirmizi I.A., and Twizell E.H. Non polynomial spline approach to the solution of a system of third-order boundary-value problems. Applied Mathematics and Computation 168 1 (2005) 152-163