A new hybrid technique based on nonpolynomial splines and finite differences for solving the Kuramoto–Sivashinsky equation
Source abstract
Abstract
The generalized Kuramoto–Sivashinsky equation arises frequently in engineering, physics, biology, chemistry, and applied mathematics, and 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 and finite differences for solving the Kuramoto–Sivashinsky equation approximately. Specifically, the truncation error is studied to examine the convergence order of the proposed scheme, some problems are given to show its viability and effectiveness, and the norm errors are determined to compare the current method with the analytic solution and some other methods from the literature.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Nanofluid Flow and Heat Transfer · Advanced Numerical Methods in Computational Mathematics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Mathematics Department, College of Science, University of Duhok 1 , Duhok, Iraq
Mathematics Department, College of Science, University of Sulaimani 2 , Sulaimani, Iraq
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