Numerical Solution of Cahn-Allen Equations by Wavelet Based Lifting Schemes

Authors

  • L. M. Angadi Department of Mathematics, Sri Siddeshwar Government First Grade College & P.G. studies Center, Nargund – 582207, India

DOI:

https://doi.org/10.3329/jsr.v16i1.63085

Abstract

The Cahn-Allen equation is a reaction-diffusion equation of mathematical physics that describes the process of phase separation in multi-component alloy systems and order-disorder transitions. This paper presented a numerical solution of Cahn-Allen equations by Lifting scheme using different wavelet filter coefficients. The numerical results obtained using this scheme are compared with the exact solution to demonstrate the accuracy and fast convergence in less computational time than the existing scheme. Some problems are taken to show the validity and applicability of the scheme.

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Published

2024-01-01

How to Cite

Angadi, L. M. . (2024). Numerical Solution of Cahn-Allen Equations by Wavelet Based Lifting Schemes. Journal of Scientific Research, 16(1), 31–40. https://doi.org/10.3329/jsr.v16i1.63085

Issue

Vol. 16 No. 1 (2024)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.