An integral-like numerical approach for solving Burgers' equation

An unconventional approach is applied to solve the one-dimensional Burgers' equation. It is based on spline polynomial interpolations and Hopf-Cole transformation. Taylor expansion is used to approximate the exponential term in the transformation, then the analytical solution of the simplified...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2023-09
1. Verfasser:	Kanoksirirath, Somrath
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers equation Diffusion Exact solutions Interpolation Norms Numerical stability Polynomials Series expansion Stability analysis Taylor series
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!