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International Journal of Computer Mathematics Volume 81, 2004 - Issue 6
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Finite difference method for solving fourth-order obstacle problems

Eisa A. Al-said * Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
,
Muhammad Aslam Noor Etisalat College of Engineering, P.O. Box 980, Sharjah, United Arab EmiratesCorrespondence[email protected]
,
Dogan Kaya ‡ Department of Mathematics, Firat University, Elazig, 23119, Turkey
&
Kamel Al-khaled § Department of Mathematics and Computer Science, United Arab Emirates University, Al Ain, United Arab Emirates
Pages 741-748 | Received 16 Jun 2003, Accepted 20 Nov 2003, Published online: 25 Jan 2007

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Suliman M. Mahmoud. (2011) Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems. International Journal of Computer Mathematics 88:16, pages 3468-3482.
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Xiao-Peng Lian, Zhongdi Cen & Xiao-Liang Cheng. (2010) Some iterative algorithms for the obstacle problems. International Journal of Computer Mathematics 87:11, pages 2493-2502.
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A. Boutayeb & A. Chetouani. (2007) A mini-review of numerical methods for high-order problems† . International Journal of Computer Mathematics 84:4, pages 563-579.
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Arshad Khan & Shilpi Bisht. (2020) Exponential Spline Solution of Boundary Value Problems Occurring in the Plate Deflection Theory. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 91:2, pages 289-295.
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Muhammad Rafiq, Muhammad Aslam Noor, Madeeha Tahir, Muhammad Kamran, Muhammad Amer Qureshi & Shabieh Farwa. (2019) Efficient analytical approach to solve system of BVPs associated with fractional obstacle problem. AIP Advances 9:9.
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Asif Waheed, Syed Tauseef Mohyud-Din & Iqra Naz. (2018) On analytical solution of system of nonlinear fractional boundary value problems associated with obstacle. Journal of Ocean Engineering and Science 3:1, pages 49-55.
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Mustafa Turkyilmazoglu. (2017) Solution of Initial and Boundary Value Problems by an Effective Accurate Method. International Journal of Computational Methods 14:06, pages 1750069.
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Weidong Cao & Danping Yang. (2014) Adaptive optimal control approximation for solving a fourth-order elliptic variational inequality. Computers & Mathematics with Applications 66:12, pages 2517-2531.
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Osman Raşit Işik, Mehmet Sezer & Zekeriya Güney. (2011) A rational approximation based on Bernstein polynomials for high order initial and boundary values problems. Applied Mathematics and Computation 217:22, pages 9438-9450.
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Muhammad Noor, Khalida Noor, Asif Waheed & Eisa A. Al-Said. (2011) An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems. Mathematical Problems in Engineering 2011, pages 1-14.
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Siraj-ul-Islam, Ikram A. Tirmizi, Fazal Haq & Shahrukh K. Taseer. (2008) Family of numerical methods based on non-polynomial splines for solution of contact problems. Communications in Nonlinear Science and Numerical Simulation 13:7, pages 1448-1460.
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Manoj Kumar & Pankaj Kumar Srivastava. (2008) Computational techniques for solving differential equations by quadratic, quartic and octic spline. Advances in Engineering Software 39:8, pages 646-653.
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Shaher Momani & Vedat Suat Ertürk. (2008) Solving a system of fourth‐order obstacle boundary value problems by differential transform method. Kybernetes 37:2, pages 315-325.
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Shaher Momani, Khaled Moadi & Muhammad Aslam Noor. (2006) Decomposition method for solving a system of fourth-order obstacle boundary value problems. Applied Mathematics and Computation 175:2, pages 923-931.
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Siraj-ul-Islam, Ikram A. Tirmizi & Saadat Ashraf. (2006) A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications. Applied Mathematics and Computation 174:2, pages 1169-1180.
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Eisa A. Al-Said, Muhammad Aslam Noor & Themistocles M. Rassias. (2006) Cubic splines method for solving fourth-order obstacle problems. Applied Mathematics and Computation 174:1, pages 180-187.
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