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Meshless and multi-resolution collocation techniques for parabolic interface models

Author

Listed:
  • Siraj-ul-Islam,
  • Haider, Nadeem
  • Aziz, Imran

Abstract

Two new numerical methods based on Haar wavelet collocation and meshless collocation are proposed for solution of parabolic type of time marching interface models. This work is extension of the earlier work (Aziz et al., 2018) from one-dimensional elliptic type interface models to one-dimensional parabolic type interface models. Performance of both the methods is checked in terms of L∞ error norm. Comparison of the proposed methods with the existing methods validates superiority of the methods.

Suggested Citation

  • Siraj-ul-Islam, & Haider, Nadeem & Aziz, Imran, 2018. "Meshless and multi-resolution collocation techniques for parabolic interface models," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 313-332.
    • Handle: RePEc:eee:apmaco:v:335:y:2018:i:c:p:313-332
    DOI: 10.1016/j.amc.2018.04.044
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    References listed on IDEAS

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    1. Zaheer-ud-Din, & Siraj-ul-Islam,, 2018. "Meshless methods for one-dimensional oscillatory Fredholm integral equations," Applied Mathematics and Computation, Elsevier, vol. 324(C), pages 156-173.
    2. Hsiao, Chun-Hui & Wang, Wen-June, 2001. "Haar wavelet approach to nonlinear stiff systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(6), pages 347-353.
    3. Hsiao, C.H., 2004. "Haar wavelet approach to linear stiff systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(5), pages 561-567.
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