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Original Articles

Numerical solutions of fourth order variational inequalities

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Pages 107-116 | Received 13 Apr 1999, Published online: 19 Mar 2007

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W. K. Zahra. (2011) Finite-difference technique based on exponential splines for the solution of obstacle problems. International Journal of Computer Mathematics 88:14, pages 3046-3060.
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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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Eisa A. Al-said , Muhammad Aslam Noor, Dogan Kaya & Kamel Al-khaled . (2004) Finite difference method for solving fourth-order obstacle problems. International Journal of Computer Mathematics 81:6, pages 741-748.
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Articles from other publishers (14)

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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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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Shaukat Iqbal. (2011) Galerkin's finite element formulation of the system of fourth-order boundary-value problems. Numerical Methods for Partial Differential Equations 27:6, pages 1551-1560.
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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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J. Rashidinia, R. Mohammadi, R. Jalilian & M. Ghasemi. (2007) Convergence of cubic-spline approach to the solution of a system of boundary-value problems. Applied Mathematics and Computation 192:2, pages 319-331.
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Shahid S. Siddiqi & Ghazala Akram. (2007) Solution of the system of fourth order boundary value problems using cubic spline. Applied Mathematics and Computation 187:2, pages 1219-1227.
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Shahid S. Siddiqi & Ghazala Akram. (2007) Solution of the system of fourth-order boundary value problems using non-polynomial spline technique. Applied Mathematics and Computation 185:1, pages 128-135.
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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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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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A. Khan, M. A. Noor & T. Aziz. (2004) Parametric Quintic-Spline Approach to the Solution of a System of Fourth-Order Boundary-Value Problems. Journal of Optimization Theory and Applications 122:2, pages 309-322.
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Eisa A. Al-Said & Muhammad Aslam Noor. (2002) Quartic spline method for solving fourth order obstacle boundary value problems. Journal of Computational and Applied Mathematics 143:1, pages 107-116.
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