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Numerical Solution of Two‐Point Boundary Value Problems by Interpolating Subdivision Schemes

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  • Ghulam Mustafa
  • Syeda Tehmina Ejaz

Abstract

A numerical interpolating algorithm of collocation is formulated, based on 8‐point binary interpolating subdivision schemes for the generation of curves, to solve the two‐point third order boundary value problems. It is observed that the algorithm produces smooth continuous solutions of the problems. Numerical examples are given to illustrate the algorithm and its convergence. Moreover, the approximation properties of the collocation algorithm have also been discussed.

Suggested Citation

  • Ghulam Mustafa & Syeda Tehmina Ejaz, 2014. "Numerical Solution of Two‐Point Boundary Value Problems by Interpolating Subdivision Schemes," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:721314
    DOI: 10.1155/2014/721314
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    References listed on IDEAS

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    1. Ghulam Mustafa & Faheem Khan, 2009. "A New 4‐Point C3 Quaternary Approximating Subdivision Scheme," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    2. Ghulam Mustafa & Jiansong Deng & Pakeeza Ashraf & Najma Abdul Rehman, 2012. "The Mask of Odd Points n‐Ary Interpolating Subdivision Scheme," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Syeda Tehmina Ejaz & Ghulam Mustafa, 2016. "A Subdivision Based Iterative Collocation Algorithm for Nonlinear Third‐Order Boundary Value Problems," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).

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