Local meshless collocation scheme for numerical simulation of space fractional PDE-Reference-Cited by-同舟云学术

Local meshless collocation scheme for numerical simulation of space fractional PDE

Published:2023 Issue:Spec. issue 1 Volume:27 Page:101-109
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Shakeel Mehnaz¹,Khan Muhammad²,Ahmad Imtiaz³,Ahmad Hijaz⁴,Jarasthitikulchai Nantapat⁵,Sudsutad Weerawat⁶

Affiliation:

1. Shaheed Benazir Bhutto Women University, Peshawar, Pakistan

2. University of Engineering and Technology, Peshawar, Pakistan

3. Department of Mathematics, University of Swabi, Khyber Pakhtunkhwa, Pakistan

4. Operational Research Center in Healthcare, Near East University, Nicosia/Mersin, Turkey + Section of Mathematics, International Telematic University Uninettuno, Roma, Italy

5. Department of General Education, Faculty of Science and Health Technology, Navamindradhiraj University, Bangkok, Thailand

6. Department of Statistics, Faculty of Science, Ramkhamhaeng University, Bangkok, Thailand

Abstract

In this work, numerical solution of multi term space fractional PDE is calculated by using radial basis functions. The fractional derivatives of radial basis functions are evaluated by Caputo and Riemann-Liouville definitions. Local radial basis functions are applied to get stable and accurate solution the problem. Accuracy of the method is assessed by using double mesh procedure. Numerical solutions are presented for different fractional orders to show the effect of introducing fractionality.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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