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Original Articles

Numerical solutions for system of third-order boundary value problems

Pages 111-121 | Received 07 Mar 2000, Published online: 20 Mar 2007

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Fazhan Geng & Minggen Cui. (2010) Solving a system of third-order boundary value problem using variational iteration method. International Journal of Computer Mathematics 87:4, pages 900-907.
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Manoj Kumar & Pankaj Kumar Srivastava. (2009) Computational Techniques for Solving Differential Equations by Cubic, Quintic, and Sextic Spline. International Journal for Computational Methods in Engineering Science and Mechanics 10:1, pages 108-115.
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Articles from other publishers (21)

Pramod PANDEY. (2022) Third Order Convergent Finite Difference Method for the Third Order Boundary Value Problem in ODEs. Turkish Journal of Mathematics and Computer Science 14:1, pages 184-190.
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Ji Lin, Yuhui Zhang & Chein-Shan Liu. (2021) Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods. Advances in Difference Equations 2021:1.
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F.A. Costabile, M.I. Gualtieri & A. Napoli. (2021) Lidstone-based collocation splines for odd-order BVPs. Mathematics and Computers in Simulation 186, pages 124-135.
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Quang A Dang & Quang Long Dang. (2020) Simple numerical methods of second- and third-order convergence for solving a fully third-order nonlinear boundary value problem. Numerical Algorithms 87:4, pages 1479-1499.
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Yohannis Alemayehu Wakjira & Gemechis File Duressa. (2020) Exponential spline method for singularly perturbed third-order boundary value problems. Demonstratio Mathematica 53:1, pages 360-372.
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PRAMOD KUMAR PANDEY. (2020) THE NUMERICAL SOLUTION OF THREE POINT THIRD ORDER BOUNDARY VALUE PROBLEMS IN ODES. Journal of Science and Arts 20:3, pages 529-536.
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Anju Chaurasia, Prakash Chandra Srivastava & Yogesh Gupta. 2019. Data Management, Analytics and Innovation. Data Management, Analytics and Innovation 341 351 .
P.K. Pandey & S.S.A. Jaboob. (2018) A finite difference method for a numerical solution of elliptic boundary value problems. Applied Mathematics and Nonlinear Sciences 3:1, pages 311-320.
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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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P. K. Pandey. (2017) A finite difference method for the numerical solving general third order boundary-value problem with an internal boundary condition. Russian Mathematics 61:12, pages 29-38.
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P. K. Pandey. (2016) Solving third-order boundary value problems with quartic splines. SpringerPlus 5:1.
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Shusen Xie, Peng Li, Zhen Gao & Hui Wang. (2012) High order compact finite difference schemes for a system of third order boundary value problem. Applied Mathematics and Computation 219:5, pages 2564-2573.
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Muhammad Aslam Noor, Eisa Al-Said & Khalida Inayat Noor. (2012) Finite Difference Method for Solving a System of Third-Order Boundary Value Problems. Journal of Applied Mathematics 2012, pages 1-10.
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Zhiyuan Li, Yulan Wang & Fugui Tan. (2012) The Solution of a Class of Third-Order Boundary Value Problems by the Reproducing Kernel Method. Abstract and Applied Analysis 2012, pages 1-11.
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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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Siraj-ul-Islam, Ikram A. Tirmizi & Muhammad Azam Khan. (2007) Quartic non-polynomial spline approach to the solution of a system of third-order boundary-value problems. Journal of Mathematical Analysis and Applications 335:2, pages 1095-1104.
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Eisa A. Al-Said & Muhammad Aslam Noor. (2007) Numerical solutions of third-order system of boundary value problems. Applied Mathematics and Computation 190:1, pages 332-338.
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Feng Gao & Chun-Mei Chi. (2006) Solving third-order obstacle problems with quartic B-splines. Applied Mathematics and Computation 180:1, pages 270-274.
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Siraj-ul-Islam, Muhammad Azam Khan, Ikram A. Tirmizi & E.H. Twizell. (2005) Non polynomial spline approach to the solution of a system of third-order boundary-value problems. Applied Mathematics and Computation 168:1, pages 152-163.
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Muhammad Aslam Noor & Eisa E. Al-Said. (2004) Quartic splines solutions of third-order obstacle problems. Applied Mathematics and Computation 153:2, pages 307-316.
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E.A. Al-Said & M.A. Noor. (2003) Cubic splines method for a system of third-order boundary value problems. Applied Mathematics and Computation 142:2-3, pages 195-204.
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