The Haar wavelets based numerical solution of Reccati equation with integral boundary condition-Reference-Cited by-同舟云学术

The Haar wavelets based numerical solution of Reccati equation with integral boundary condition

Published:2023 Issue:Spec. issue 1 Volume:27 Page:93-100
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Ahsan Muhammad¹,Khan Amir¹,Dinibutun Seza²,Ahmad Imtiaz¹,Ahmad Hijaz³,Jarasthitikulchai Nantapat⁴,Sudsutad Weerawat⁵

Affiliation:

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

2. Department of Mathematics and Science, International University of Science and Technology, Kuwait, Kuwait

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

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

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

Abstract

A Haar wavelet collocation method (HWCM) is presented for the solution of Riccati equation subject to the two-point and integral boundary condition. The qua?silinearization technique is applied to linearized the Riccati equation and then the linearized equation with boundary condition is solved by converting into system of algebraic equation with the help of Haar wavelets. We have considered three different form of Reccati equation, two having integral boundary condition and one with two-point boundary condition. The numerical results obtained by HWCM are stable, efficient and convergent.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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