Karakoç, Battal GaziZeybek, HalilAk, Turgut2024-06-262024-06-2620142311-004Xhttps://doi.org/10.19139/soic.v2i3.74https://hdl.handle.net/20.500.12573/2214In this article, a numerical solution of the Kawahara equation is presented by septic B-spline collocation method. Applying the Von-Neumann stability analysis, the present method is shown to be unconditionally stable. The accuracy of the proposed method is checked by two test problems. L2 and L∞ error norms and conserved quantities are given at selected times. The obtained results are found in good agreement with the some recent results.enginfo:eu-repo/semantics/openAccessCollocationFinite element methodKawahara equationSeptic B-SplinesSolitary wavesNumerical solutions of the kawahara equation by the septic B-spline collocation methodarticle23211221