Enhanced rational multi-derivative integrator for singular problems with application to advection equations

Enhanced rational multi-derivative integrator for singular problems with application to advection equations

Singular problems with discontinuities or steep gradients challenge traditional numerical integration methods. This study introduces the Rational Multi-Derivative Integrator (RMDI), designed specifically for such problems in ordinary and partial differential equations. The RMDI employs rational appr...

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Bibliographic Details
Main Authors: Muideen O. Ogunniran, Abeer Aljohani, Ali Shokri, Kamiludeen R. Tijani, Yuanheng Wang
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Ain Shams Engineering Journal
Subjects:
Multi-derivative Hybrid methods
Adaptive algorithms
Rational functions
Error estimation
Convergence and stability
Online Access:http://www.sciencedirect.com/science/article/pii/S2090447924004416
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