Abstract
In this paper, we propose new technique for solving fractional diffusion-wave equation. This algorithm is based on Triangular Function (TFs) methods, a new fractional operational matrix of integration for the TFs is derived. The TFs and their fractional operational matrix of integration are used to transform the problem under consideration into a linear system of algebraic equations. The new technique is applied to solving two mathematical models. We show that the present approach is relatively easy, efficient and highly accurate.
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Ebadian, A., Fazli, H.R. & Khajehnasiri, A.A. Solution of nonlinear fractional diffusion-wave equation by traingular functions. SeMA 72, 37–46 (2015). https://doi.org/10.1007/s40324-015-0045-x
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DOI: https://doi.org/10.1007/s40324-015-0045-x
Keywords
- Triangular functions
- Fractional diffusion-wave equation
- Operational matrix
- Fractional calculus
- Block pulse function