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A radial basis functions based finite differences method for wave equation with an integral condition

Author

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  • Kadalbajoo, Mohan K.
  • Kumar, Alpesh
  • Tripathi, Lok Pati

Abstract

The hyperbolic partial differential equation, which contains integral condition in place of classical boundary condition arises in many application of modern physics and technologies. In this article, we propose a numerical method to solve the hyperbolic equation with nonlocal boundary condition using radial basis function based finite difference method. Several numerical experiments are presented and compared with some existing method to demonstrate the efficiency of the proposed method.

Suggested Citation

  • Kadalbajoo, Mohan K. & Kumar, Alpesh & Tripathi, Lok Pati, 2015. "A radial basis functions based finite differences method for wave equation with an integral condition," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 8-16.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:8-16
    DOI: 10.1016/j.amc.2014.12.089
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    Cited by:

    1. Stolbunov, Valentin & Nair, Prasanth B., 2018. "Sparse radial basis function approximation with spatially variable shape parameters," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 170-184.
    2. Zaheer-ud-Din & Muhammad Ahsan & Masood Ahmad & Wajid Khan & Emad E. Mahmoud & Abdel-Haleem Abdel-Aty, 2020. "Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media," Mathematics, MDPI, vol. 8(11), pages 1-19, November.
    3. Li, Shuling & Li, Xiaolin, 2016. "Radial basis functions and level set method for image segmentation using partial differential equation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 29-40.

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