Akademik Veri Yönetim Sistemi
Journal of Difference Equations and Applications, 2026 (SCI-Expanded, Scopus)
This paper focuses on designing a higher-order computational scheme for solving the generalized Rosenau-regularized long wave (GR-RLW) equation. Initially, improvised quintic B-spline approach incorporating novel higher-order formulations for the second-order and fourth-order spatial derivatives is employed to transform the considered equation into a set of ordinary differential equations (ODEs). The obtained time-dependent system is then solved using the classical fourth-order Runge-Kutta (RK4) method. The stability analysis of the developed scheme is conducted through calculation of the eigenvalues and is found to be stable. To assess the accuracy and efficiency of the proposed approach, a model problem with a known exact solution is considered for various values of the parameter p. To evaluate the performance of the proposed numerical scheme, the error norm (Formula presented.) and the invariants of discrete mass and energy are computed and compared with previously published results. Furhermore, the convergence behaviour of the developed scheme is also investigated.