Exponential approximation space reconstruction weighted essentially nonoscillatory scheme for dispersive partial differential equations
Lavanya V. Salian,
Rathan Samala
Abstract:In this work, we construct a fifth‐order weighted essentially non‐oscillatory (WENO) scheme with exponential approximation space for solving dispersive equations. A conservative third‐order derivative formulation is developed directly using WENO spatial reconstruction procedure, and third‐order TVD Runge–Kutta scheme is used for the evaluation of time derivative. This exponential approximation space consists a tension parameter that may be optimized to fit the specific feature of the characteristic data, yield… Show more
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