Numerical solution of variational problems via Haar wavelet quasilinearization technique

Document Type : Research Paper


Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367 Ardabil, Iran


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.