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ABSTRACT
In this paper, a Euler wavelets method for solving the variational problems is presented. The operational matrices of integration and product of Euler wavelets are calculated. Then, by using Euler wavelets and the operational matrices, the variational problems are reduced into the system of algebraic equations. Furthermore, the convergence analysis and error bound of the Euler wavelets method are given. Some examples are included to demonstrate the applicability and validity of the schemes.
Acknowledgments
The authors are very grateful to the reviewers for giving valuable suggestions and comments which significantly contributed to the quality and presentation of the paper.
Disclosure statement
The authors declare that they have no competing interests.
Additional information
Funding
The research is supported by the Natural Science Foundation of Ningbo City, China (No. 2021J143, 2021J144).