Non-Polynomial Splines and Solving the Heat Equation

DOI

https://doi.org/10.1109/CSCC49995.2020.00033
Final published version

I. G. Burova

This paper discusses the application of the polynomial, exponential and trigonometric splines of the fourth order of approximation to the construction of methods for numerically solving the heat conduction problem. The exponential splines and the trigonometric splines are used here to approximate the partial derivatives. This approach allows us to construct explicit and implicit difference schemes. The main focus of the paper is on implicit difference schemes. Numerical examples are given.

Original language	English
Title of host publication	Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	140-146
Number of pages	7
ISBN (Electronic)	9781728165035
DOIs	https://doi.org/10.1109/CSCC49995.2020.00033
State	Published - Jul 2020
Event	24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 - Platanias, Chania, Crete Island, Greece Duration: 19 Jul 2020 → 22 Jul 2020

Publication series

Name	Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020

Conference

Conference	24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Country/Territory	Greece
City	Platanias, Chania, Crete Island
Period	19/07/20 → 22/07/20

Scopus subject areas

Computer Science Applications
Computer Vision and Pattern Recognition
Information Systems
Electrical and Electronic Engineering
Computational Mathematics
Artificial Intelligence
Computer Networks and Communications

Research areas

exponential splines, heat conduction problem, polynomial splines, trigonometric splines

ID: 76977262