A Class of Block Multi-derivative Numerical Techniques for Singular Advection Equations

https://doi.org/10.46481/jnsps.2019.12

Authors

Keywords:

Advection equations, Singular point, Multi-derivative, Conservation law, off-step point

Abstract

The integration of some differential equations is hard to acquire because of the presence of singular point(s) in these equations. These equations are best solved by some unique technique. Multi-derivative techniques have a long history of powerful integration of such equations yet till date, a couple of class of this technique has been explored for integrating partial differential equations. This work centers around the development, analysis, and implementation of a class of multi-derivative technique on partial differential equations. The approaches were effectively analyzed and were turned out to be consistent, stable and convergent. Numerical outcomes got likewise demonstrated the approximation quality of the technique over existing techniques in the literature.

Dimensions
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Published

2019-07-13

How to Cite

A Class of Block Multi-derivative Numerical Techniques for Singular Advection Equations. (2019). Journal of the Nigerian Society of Physical Sciences, 1(2), 62-71. https://doi.org/10.46481/jnsps.2019.12

Issue

Volume 1, Issue 2, May 2019

Section

Original Research
Copyright & Licensing

Copyright (c) 2019 Journal of the Nigerian Society of Physical Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

A Class of Block Multi-derivative Numerical Techniques for Singular Advection Equations. (2019). Journal of the Nigerian Society of Physical Sciences, 1(2), 62-71. https://doi.org/10.46481/jnsps.2019.12