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Combined variational iteration method with chebyshev wavelet for the solution of convection-diffusion-reaction problem

Author(s)
Muhammad Memon Department of Basic Sciences and Related Studies, Quaid-e-Awam University of Engineering, Science and Technology,Nawabshah Sindh,Pakistan
Khuda Bux Amur Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering,Science and Technology Nawabshah Sindh,Pakistan
Wajid A. Shaikh Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering,Science and Technology Nawabshah Sindh,Pakistan
Abstract
The goal of the work is to solve the nonlinear convection-diffusion-reaction problem using the variational iteration method with the combination of the Chebyshev wavelet. This work developed a hybrid iterative technique named as Variational iteration method with the Chebyshev wavelet for the solutions of nonlinear convection-diffusion-reaction problems. The aim of applying the derived algorithm is to achieve fast convergence. During the solution of the given problem, the restricted variations will be mathematically justified. The effects of the scaling and other parameters like diffusion parameter, convection parameter, and reaction parameter on the solution are also focused on by their suitable selection. The approximate results include the error profiles and the simulations. The results of variational iteration with the Chebyshev wavelet are compared with variational iteration method, the Modified variational iteration method, and the Variational iteration method with Legendre wavelet. The error profiles allow us to compare the results with well-known existing schemes.
Publication Details
Page(s) 93-107
DOI DOI not available
Published Journal: Mehran University Research Journal of Engineering and Technology, Volume: 42, Issue: 2, Year: 2023

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Keywords
Hybrid Iterative Technique Variational Iteration Method Chebyshev Wavelet Convection-Diffusion-Reaction Lagrange Multiplier Technique
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