Karaagac, BeratEsen, AlaattinOwolabi, Kolade M. M.Pindza, Edson2024-08-042024-08-0420230129-18311793-6586https://doi.org/10.1142/S0129183123500961https://hdl.handle.net/11616/101115This paper focuses on numerical solutions of time fractional nonlinear Korteweg-de Vries-Burgers equation formulated with Caputo's fractional derivative. For this purpose, a framework of combinations of collocation method with the finite-element method is provided using trigonometric quintic B-spline basis. The method consists of both spatial discretization and temporal discretization using approximate solution and Crank-Nicolson approach. Discretizing fractional derivative is made using L1(0 <= 1) algorithm which is derived from the definition of Caputo derivative using an approximate function. The stability analysis is established using von-Neumann stability technique. The numerical results obtained using the collocation method are presented via tables and graphics. The novel results demonstrate the efficiency and reliability of the method.eninfo:eu-repo/semantics/closedAccessKorteweg-de Vries-Burgers equationCaputo fractional derivativecollocation methodtrigonometric quintic B-splinesvon-Neumann stability techniqueArticle34710.1142/S01291831235009612-s2.0-85146262026Q3WOS:000910745900002Q2