Chebyshev wavelet solutions for time-fractional integro partial differential equation and its application to beam problems

Authors

  • Korkiatsakul T Lecturer at Department of Mathematics, Faculty of Science and Technology, SuratthaniRajabhat University, Thailand
  • Koonprasert S Associate Professor at Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand
  • Neamprem K Assistant Professor at Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Thailand

Keywords:

Chebyshev wavelet method, Caputo time-fractional derivative, Caputo time-fractional integro partial differential equations, beam problem, Chebyshev wavelet solutions

Abstract

The main objectives of this works are to present a Chebyshev wavelet method to solve approximately analytical solutions which it can apply to the beam problem. The analytical solutions of this problem can be written as Chebyshev wavelet series that can compute the unknown coefficient of Chebyshev wavelet solutions with nonlinear algebraic system. With our numerical results, the Chebyshev wavelet technique is simple and powerful method for calculating any beam problems. The validity and accuracy of our method have been shown through analytical results, absolute error and absolute residue error. Additionally, it is appropriate for solving some fractional order of Caputo fractional in nonlinear time-fractional integro partial differential equations.

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Published

2024-02-26

How to Cite

Korkiatsakul, T., Koonprasert, S., & Neamprem, K. (2024). Chebyshev wavelet solutions for time-fractional integro partial differential equation and its application to beam problems. COMPUSOFT: An International Journal of Advanced Computer Technology, 9(05), 3677–3684. Retrieved from https://ijact.in/index.php/j/article/view/568

Issue

Section

Original Research Article

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