Abstract
This paper introduces a characteristic method for solving linear first-order hyperbolic partial differential equations in two space dimensions. The algorithm employs rational Wachspress-type basis functions applied to a hexagonal discretization of the domain, integrated within the Eulerian-Lagrangian Localized Adjoint Method (ELLAM) framework. The proposed scheme preserves the strengths of characteristic methods and delivers accurate numerical results, even with large time steps. Computational tests conducted on standard benchmark problems illustrate the effectiveness of the method.
Keywords
Publication details
- DOI
- 10.53539/2414-536x.1409
- Journal
- Sultan Qaboos University Journal for Science, 30(2), 170-178
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Al‐Lawatia, M. (2025). A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations. Sultan Qaboos University Journal for Science, 30(2), 170-178. https://doi.org/10.53539/2414-536x.1409
MLA 9
Al‐Lawatia, Mohamed. "A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations." Sultan Qaboos University Journal for Science, vol. 30, no. 2, 2025, pp. 170-178. https://doi.org/10.53539/2414-536x.1409.
Chicago (author–date)
Al‐Lawatia, Mohamed. 2025. "A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations." Sultan Qaboos University Journal for Science 30 (2): 170-178. https://doi.org/10.53539/2414-536x.1409.
Harvard
Al‐Lawatia, M. (2025) 'A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations', Sultan Qaboos University Journal for Science, 30(2), pp. 170-178. doi:10.53539/2414-536x.1409.
Vancouver
Al‐Lawatia M. A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations. Sultan Qaboos University Journal for Science. 2025;30(2):170-178. doi:10.53539/2414-536x.1409
IEEE
M. Al‐Lawatia, "A Wachspress-Type Rational Characteristic Method for Solving First-Order Hyperbolic Equations," Sultan Qaboos University Journal for Science, vol. 30, no. 2, pp. 170-178, 2025, doi: 10.53539/2414-536x.1409.