Numerical solution of variational problems via Haar wavelet quasilinearization technique

In this paper, a numerical solution based on Haar wavelet quasilinearization (HWQ) is used for finding the solution of nonlinear Euler-Lagrange equations which arise from the problems in calculus of variations. Some examples of variational problems are given and outcomes compared with exact solutions to demonstrate the accuracy and efficiency of the method.

Keywords:

Calculus of variation , Boundary value problem , Haar wavelet , Quasilinearization

Authors

Mohammad Zarebnia

Department of Mathematics, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷ Ardabil, Iran

Hosein Barandak Emcheh

Department of Mathematics, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷ Ardabil, Iran

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https://civilica.com/doc/1616191

شناسه ملی سند علمی:

JR_CMDE-4-3_006

تاریخ نمایه سازی: 15 اسفند 1401

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Zarebnia, Mohammad and Barandak Emcheh, Hosein,1395,Numerical solution of variational problems via Haar wavelet quasilinearization technique,https://civilica.com/doc/1616191

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Ranking of University of Mohaghegh Ardabili

Type of center: دانشگاه دولتی

Paper count: 19,262

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