THERMAL SCIENCE

International Scientific Journal

Muhammad Ahsan

,

Amir Ali Khan

,

Seza Dinibutun

,

Imtiaz Ahmad

,

Hijaz Ahmad

,

Nantapat Jarasthitikulchai

,

Weerawat Sudsutad

THE HAAR WAVELETS BASED NUMERICAL SOLUTION OF RECCATI EQUATION WITH INTEGRAL BOUNDARY CONDITION

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 qua­silinearization 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.
KEYWORDS
Haar wavelet, Riccati equation, collocation method, integral boundary, linearization
PAPER SUBMITTED: 2022-06-01
PAPER REVISED: 2022-06-14
PAPER ACCEPTED: 2022-06-24
PUBLISHED ONLINE: 2023-04-08
DOI REFERENCE: https://doi.org/10.2298/TSCI23S1093A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Special issue 1, PAGES [93 - 100]
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The Haar wavelets based numerical solution of Reccati equation with integral boundary condition

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence