TY - JOUR
T1 - Haar Wavelet Method for Solving High-Order Differential Equations with Multi-Point Boundary Conditions
AU - Heydari, Mohammad
AU - Avazzadeh, Zakieh
AU - Hosseinzadeh, Narges
N1 - Publisher Copyright:
© 2022. Published by Shahid Chamran University of Ahvaz
PY - 2022
Y1 - 2022
N2 - In This paper, the developed Haar wavelet method for solving boundary value problems is described. As known, the orthogonal Haar basis functions are applied widely for solving initial value problems, but In this study, the method for solving systems of ODEs associated with multipoint boundary conditions is generalized in separated or non-separated forms. In this technique, a system of high-order boundary value problems of ordinary differential equations is reduced to a system of algebraic equations. The experimental results confirm the computational efficiency and simplicity of the proposed method. Also, the implementation of the method for solving the systems arising in the real world for phenomena in fluid mechanics and construction engineering approves the applicability of the approach for a variety of problems.
AB - In This paper, the developed Haar wavelet method for solving boundary value problems is described. As known, the orthogonal Haar basis functions are applied widely for solving initial value problems, but In this study, the method for solving systems of ODEs associated with multipoint boundary conditions is generalized in separated or non-separated forms. In this technique, a system of high-order boundary value problems of ordinary differential equations is reduced to a system of algebraic equations. The experimental results confirm the computational efficiency and simplicity of the proposed method. Also, the implementation of the method for solving the systems arising in the real world for phenomena in fluid mechanics and construction engineering approves the applicability of the approach for a variety of problems.
KW - Haar wavelets
KW - High-order differential equations
KW - Multi-point boundary value problems
KW - Separated and non-separated boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=85103370040&partnerID=8YFLogxK
U2 - 10.22055/jacm.2020.31860.1935
DO - 10.22055/jacm.2020.31860.1935
M3 - Article
AN - SCOPUS:85103370040
SN - 2383-4536
VL - 8
SP - 528
EP - 544
JO - Journal of Applied and Computational Mechanics
JF - Journal of Applied and Computational Mechanics
IS - 2
ER -