A finite pointset method for Kuramoto–Sivashinsky equation based on mixed formulation.

Autor: Doss, L. Jones Tarcius, Kousalya, N.
Zdroj: Mathematical Methods in the Applied Sciences; 1/15/2025, Vol. 48 Issue 1, p765-778, 14p
Abstrakt: In this paper, a second‐order splitting method is applied to the Kuramoto–Sivashinsky equation, and then a finite Pointset method (FPM) is employed to solve the resulting coupled system. FPM is a meshfree particle method which is a local iterative procedure based on the weighted least square approximation. The numerical example confirms that the FPM is effective and accurate for this kind of problem. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index