Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto–Sivashinsky equation

A spline is a piecewise defined special function that is usually comprised of polynomials of a certain degree. These polynomials are supposed to generate a smooth curve by connecting at given data points. In this work, an application of fifth degree basis spline functions is presented for a numerica...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2020; no. 1; pp. 1 - 21
Main Authors:	Iqbal, Muhammad Kashif, Abbas, Muhammad, Nazir, Tahir, Ali, Nouman
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 07.10.2020 SpringerOpen
Subjects:	Analysis Applications Crank–Nicolson scheme Difference and Functional Equations Functional Analysis Kuramoto–Sivashinsky equation Mathematics Mathematics and Statistics Methods Ordinary Differential Equations Partial Differential Equations Quintic polynomial B-spline functions Spline approximations Topics in Special Functions and q-Special Functions: Theory Von Neumann stability analysis Von Neumann stability analysis Quintic polynomial B-spline functions Spline approximations Kuramoto–Sivashinsky equation Crank–Nicolson scheme
ISSN:	1687-1847, 1687-1847
Online Access:	Get full text
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