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A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations

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  • Deng, Kaiying
  • Chen, Minghua
  • Sun, Tieli

Abstract

A weighed numerical scheme that can effectively solve the fractional wave equation in a finite domain is provided. We focus on detailedly discussing the two and three dimensional two-sided space fractional wave equations with homogeneous boundary conditions. A second order finite difference scheme is used to discretize the space fractional derivative and the time derivative. Additionally, the numerical results confirm that the weighted numerical algorithm is convergent with second order accuracy in both space and time directions for the homogeneous boundary fractional problems.

Suggested Citation

  • Deng, Kaiying & Chen, Minghua & Sun, Tieli, 2015. "A weighted numerical algorithm for two and three dimensional two-sided space fractional wave equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 264-273.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:264-273
    DOI: 10.1016/j.amc.2014.08.039
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    References listed on IDEAS

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    1. Povstenko, Y.Z., 2010. "Evolution of the initial box-signal for time-fractional diffusion–wave equation in a case of different spatial dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4696-4707.
    2. Anh, V. V. & Leonenko, N. N., 2000. "Scaling laws for fractional diffusion-wave equations with singular data," Statistics & Probability Letters, Elsevier, vol. 48(3), pages 239-252, July.
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    Cited by:

    1. Nyamoradi, Nemat & Rodríguez-López, Rosana, 2015. "On boundary value problems for impulsive fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 874-892.

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