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International Journal of Computer Mathematics Volume 60, 1996 - Issue 3-4
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Original Articles

Solving two point boundary value problems by interpolatory subdivision algorithms

Ruibin Qu Department of Mathematics, National University of Singapore, 119260, Singapore
&
Ravi P. Agarwal Department of Mathematics, National University of Singapore, 119260, Singapore
Pages 279-294 | Received 14 Aug 1995, Published online: 19 Mar 2007

Citations (18)

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Syeda Tehmina Ejaz, Namra Zulqarnain, Jihad Younis & Saima Bibi. (2024) A numerical comparative analysis of methods for solving fractional differential equations. Arab Journal of Basic and Applied Sciences 31:1, pages 154-164.
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Ruibin Qu & Ravi P. Agarwal. (1997) An iterative scheme for solving nonlinear two point boundary value problems. International Journal of Computer Mathematics 64:3-4, pages 285-302.
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Syeda Tehmina Ejaz, Saima Bibi, Ali Akgül & Murad Khan Hassani. A comprehensive study of subdivision collocation method for Burgers’ equation. Numerical Heat Transfer, Part B: Fundamentals 0:0, pages 1-15.
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Articles from other publishers (15)

Safia Malik, Syeda Tehmina Ejaz, Ali Akgül & Murad Khan Hassani. (2024) Exploring the advection-diffusion equation through the subdivision collocation method: a numerical study. Scientific Reports 14:1.
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Syeda Tehmina Ejaz, Ghulam Mustafa, Dumitru Baleanu & Yu-Ming Chu. (2021) The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints. Advances in Difference Equations 2021:1.
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Ghulam Mustafa, Syeda Tehmina Ejaz, Sabila Kouser, Shafqat Ali & Muhammad Aslam. (2021) Subdivision Collocation Method for One-Dimensional Bratu’s Problem. Journal of Mathematics 2021, pages 1-8.
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Ghulam Mustafa, Syeda Tehmina Ejaz, Dumitru Baleanu, Abdul Ghaffar & Kottakkaran Sooppy Nisar. (2020) A subdivision-based approach for singularly perturbed boundary value problem. Advances in Difference Equations 2020:1.
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Syeda Tehmina Ejaz, Dumitru Baleanu, Ghulam Mustafa, Safia Malik & Yu-Ming Chu. (2020) The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm. AIP Advances 10:9.
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Ghulam Mustafa & Syeda Tehmina Ejaz. (2017) A SUBDIVISION COLLOCATION METHOD FOR SOLVING TWO POINT BOUNDARY VALUE PROBLEMS OF ORDER THREE. Journal of Applied Analysis & Computation 7:3, pages 942-956.
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Syeda Tehmina Ejaz & Ghulam Mustafa. (2016) A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third-Order Boundary Value Problems. Advances in Mathematical Physics 2016, pages 1-14.
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Syeda Tehmina Ejaz, Ghulam Mustafa & Faheem Khan. (2015) Subdivision Schemes Based Collocation Algorithms for Solution of Fourth Order Boundary Value Problems. Mathematical Problems in Engineering 2015, pages 1-18.
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Ghulam Mustafa & Syeda Tehmina Ejaz. (2014) Numerical Solution of Two-Point Boundary Value Problems by Interpolating Subdivision Schemes. Abstract and Applied Analysis 2014, pages 1-13.
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Manoj Kumar & Neelima Singh. (2009) A collection of computational techniques for solving singular boundary-value problems. Advances in Engineering Software 40:4, pages 288-297.
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Yu-Ping Wang & Ruibin Qu. (1999) Initialization and inner product computations of wavelet transform by interpolatory subdivision scheme. IEEE Transactions on Signal Processing 47:3, pages 876-880.
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Yu-Ping Wang & Ruibin Qu. (1999) Fast implementation of scale-space by interpolatory subdivision scheme. IEEE Transactions on Pattern Analysis and Machine Intelligence 21:9, pages 933-939.
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R. Qu & R.P. Agarwal. (1998) A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments. Computers & Mathematics with Applications 35:11, pages 121-135.
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Ruibin Qu & Ravi P. Agarwal. (1997) A collocation method for solving a class of singular nonlinear two-point boundary value problems. Journal of Computational and Applied Mathematics 83:2, pages 147-163.
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R. Qu. (1996) A new approach to numerical differentiation and integration. Mathematical and Computer Modelling 24:10, pages 55-68.
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