Numerical Modeling of the Multi-Dimensional Fractional Telegraph Equation Based on the Yang Transform
DOI:
https://doi.org/10.32792/jeps.v15i2.695Abstract
Within the scope of this study, a numerical approach is presented for solving the space-time fractional telegraph equation in multi-dimensional domains, based on the Caputo fractional derivative and utilizing the Yang Transform as an effective analytical tool. Simple and easily implementable numerical methods are employed, demonstrating high efficiency in obtaining accurate and satisfactory approximate solutions. The achieved results highlight the effectiveness of the proposed methodology in handling this class of complex fractional differential equations, paving the way for its application in various fields of physical and engineering modeling.
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