A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation

The generalized Kuramoto–Sivashinsky equation arises frequently in engineering, physics, biology, chemistry, and applied mathematics, because of its extensive applications, this important model has received much attention regarding obtaining numerical solutions. This article introduces a new hybrid technique based on nonpolynomial splines finite differences for solving the approximately. Specifically, truncation error is studied to examine convergence order proposed scheme, some problems are given show viability effectiveness, norm errors determined compare current method with analytic solution other methods from literature.